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Finding the Fourth Proportional to 1,929.12, 2,892.06 and 1,563

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Solution

The fourth proportional to 1,929.12, 2,892.06 and 1,563 is: 2,343.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.12 : 2,892.06 = 1,563 : x
  2. Step 2: Convert to fraction form
    1,929.12/2,892.06 = 1,563/x
  3. Step 3: Cross multiply
    1,929.12x = 2,892.06 × 1,563
  4. Step 4: Simplify right side
    1,929.12x = 4,520,289.78
  5. Step 5: Solve for x
    x = 4,520,289.78/1,929.12
  6. Step 6: Final answer
    x = 2,343.19

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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.