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Finding the Fourth Proportional to 2,310.60, 3,186.50 and 1,565.65

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Solution

The fourth proportional to 2,310.60, 3,186.50 and 1,565.65 is: 2,159.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.60 : 3,186.50 = 1,565.65 : x
  2. Step 2: Convert to fraction form
    2,310.60/3,186.50 = 1,565.65/x
  3. Step 3: Cross multiply
    2,310.60x = 3,186.50 × 1,565.65
  4. Step 4: Simplify right side
    2,310.60x = 4,988,943.73
  5. Step 5: Solve for x
    x = 4,988,943.73/2,310.60
  6. Step 6: Final answer
    x = 2,159.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.