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Finding the Fourth Proportional to 1,409.44, 1,946.16 and 886.24

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Solution

The fourth proportional to 1,409.44, 1,946.16 and 886.24 is: 1,223.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.44 : 1,946.16 = 886.24 : x
  2. Step 2: Convert to fraction form
    1,409.44/1,946.16 = 886.24/x
  3. Step 3: Cross multiply
    1,409.44x = 1,946.16 × 886.24
  4. Step 4: Simplify right side
    1,409.44x = 1,724,764.84
  5. Step 5: Solve for x
    x = 1,724,764.84/1,409.44
  6. Step 6: Final answer
    x = 1,223.72

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.