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Finding the Fourth Proportional to 1,929.58, 2,892.36 and 630.16

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Solution

The fourth proportional to 1,929.58, 2,892.36 and 630.16 is: 944.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.58 : 2,892.36 = 630.16 : x
  2. Step 2: Convert to fraction form
    1,929.58/2,892.36 = 630.16/x
  3. Step 3: Cross multiply
    1,929.58x = 2,892.36 × 630.16
  4. Step 4: Simplify right side
    1,929.58x = 1,822,649.58
  5. Step 5: Solve for x
    x = 1,822,649.58/1,929.58
  6. Step 6: Final answer
    x = 944.58

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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.