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Finding the Fourth Proportional to 3,139.90, 4,710.60 and 948.65

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Solution

The fourth proportional to 3,139.90, 4,710.60 and 948.65 is: 1,423.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.90 : 4,710.60 = 948.65 : x
  2. Step 2: Convert to fraction form
    3,139.90/4,710.60 = 948.65/x
  3. Step 3: Cross multiply
    3,139.90x = 4,710.60 × 948.65
  4. Step 4: Simplify right side
    3,139.90x = 4,468,710.69
  5. Step 5: Solve for x
    x = 4,468,710.69/3,139.90
  6. Step 6: Final answer
    x = 1,423.20

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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.