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Finding the Fourth Proportional to 3,134.65, 4,702.91 and 1,285.88

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Solution

The fourth proportional to 3,134.65, 4,702.91 and 1,285.88 is: 1,929.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.65 : 4,702.91 = 1,285.88 : x
  2. Step 2: Convert to fraction form
    3,134.65/4,702.91 = 1,285.88/x
  3. Step 3: Cross multiply
    3,134.65x = 4,702.91 × 1,285.88
  4. Step 4: Simplify right side
    3,134.65x = 6,047,355.20
  5. Step 5: Solve for x
    x = 6,047,355.20/3,134.65
  6. Step 6: Final answer
    x = 1,929.20

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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.