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Finding the Fourth Proportional to 3,065.38, 4,598.88 and 1,310.65

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Solution

The fourth proportional to 3,065.38, 4,598.88 and 1,310.65 is: 1,966.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.38 : 4,598.88 = 1,310.65 : x
  2. Step 2: Convert to fraction form
    3,065.38/4,598.88 = 1,310.65/x
  3. Step 3: Cross multiply
    3,065.38x = 4,598.88 × 1,310.65
  4. Step 4: Simplify right side
    3,065.38x = 6,027,505.66
  5. Step 5: Solve for x
    x = 6,027,505.66/3,065.38
  6. Step 6: Final answer
    x = 1,966.32

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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.