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Finding the Fourth Proportional to 1,535.71, 2,304.58 and 842.87

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Solution

The fourth proportional to 1,535.71, 2,304.58 and 842.87 is: 1,264.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.71 : 2,304.58 = 842.87 : x
  2. Step 2: Convert to fraction form
    1,535.71/2,304.58 = 842.87/x
  3. Step 3: Cross multiply
    1,535.71x = 2,304.58 × 842.87
  4. Step 4: Simplify right side
    1,535.71x = 1,942,461.34
  5. Step 5: Solve for x
    x = 1,942,461.34/1,535.71
  6. Step 6: Final answer
    x = 1,264.86

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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.