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Finding the Fourth Proportional to 1,404.42, 2,104.29 and 992.72

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Solution

The fourth proportional to 1,404.42, 2,104.29 and 992.72 is: 1,487.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.42 : 2,104.29 = 992.72 : x
  2. Step 2: Convert to fraction form
    1,404.42/2,104.29 = 992.72/x
  3. Step 3: Cross multiply
    1,404.42x = 2,104.29 × 992.72
  4. Step 4: Simplify right side
    1,404.42x = 2,088,960.25
  5. Step 5: Solve for x
    x = 2,088,960.25/1,404.42
  6. Step 6: Final answer
    x = 1,487.42

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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.