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Finding the Fourth Proportional to 1,549.78, 2,335.32 and 1,281.87

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Solution

The fourth proportional to 1,549.78, 2,335.32 and 1,281.87 is: 1,931.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.78 : 2,335.32 = 1,281.87 : x
  2. Step 2: Convert to fraction form
    1,549.78/2,335.32 = 1,281.87/x
  3. Step 3: Cross multiply
    1,549.78x = 2,335.32 × 1,281.87
  4. Step 4: Simplify right side
    1,549.78x = 2,993,576.65
  5. Step 5: Solve for x
    x = 2,993,576.65/1,549.78
  6. Step 6: Final answer
    x = 1,931.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.