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Finding the Fourth Proportional to 2,409.28, 3,612.48 and 848.48

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Solution

The fourth proportional to 2,409.28, 3,612.48 and 848.48 is: 1,272.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.28 : 3,612.48 = 848.48 : x
  2. Step 2: Convert to fraction form
    2,409.28/3,612.48 = 848.48/x
  3. Step 3: Cross multiply
    2,409.28x = 3,612.48 × 848.48
  4. Step 4: Simplify right side
    2,409.28x = 3,065,117.03
  5. Step 5: Solve for x
    x = 3,065,117.03/2,409.28
  6. Step 6: Final answer
    x = 1,272.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.