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Finding the Fourth Proportional to 1,827.36, 2,741.04 and 657.52

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Solution

The fourth proportional to 1,827.36, 2,741.04 and 657.52 is: 986.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.36 : 2,741.04 = 657.52 : x
  2. Step 2: Convert to fraction form
    1,827.36/2,741.04 = 657.52/x
  3. Step 3: Cross multiply
    1,827.36x = 2,741.04 × 657.52
  4. Step 4: Simplify right side
    1,827.36x = 1,802,281.77
  5. Step 5: Solve for x
    x = 1,802,281.77/1,827.36
  6. Step 6: Final answer
    x = 986.28

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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.