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Finding the Fourth Proportional to 1,928.68, 2,892.90 and 630.10

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Solution

The fourth proportional to 1,928.68, 2,892.90 and 630.10 is: 945.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.68 : 2,892.90 = 630.10 : x
  2. Step 2: Convert to fraction form
    1,928.68/2,892.90 = 630.10/x
  3. Step 3: Cross multiply
    1,928.68x = 2,892.90 × 630.10
  4. Step 4: Simplify right side
    1,928.68x = 1,822,816.29
  5. Step 5: Solve for x
    x = 1,822,816.29/1,928.68
  6. Step 6: Final answer
    x = 945.11

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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.