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Finding the Fourth Proportional to 1,785.31, 2,463.72 and 988.65

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Solution

The fourth proportional to 1,785.31, 2,463.72 and 988.65 is: 1,364.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.31 : 2,463.72 = 988.65 : x
  2. Step 2: Convert to fraction form
    1,785.31/2,463.72 = 988.65/x
  3. Step 3: Cross multiply
    1,785.31x = 2,463.72 × 988.65
  4. Step 4: Simplify right side
    1,785.31x = 2,435,756.78
  5. Step 5: Solve for x
    x = 2,435,756.78/1,785.31
  6. Step 6: Final answer
    x = 1,364.33

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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.