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Finding the Fourth Proportional to 1,602.08, 2,402.24 and 723.55

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Solution

The fourth proportional to 1,602.08, 2,402.24 and 723.55 is: 1,084.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.08 : 2,402.24 = 723.55 : x
  2. Step 2: Convert to fraction form
    1,602.08/2,402.24 = 723.55/x
  3. Step 3: Cross multiply
    1,602.08x = 2,402.24 × 723.55
  4. Step 4: Simplify right side
    1,602.08x = 1,738,128.74
  5. Step 5: Solve for x
    x = 1,738,128.74/1,602.08
  6. Step 6: Final answer
    x = 1,084.92

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