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Finding the Fourth Proportional to 1,732.56, 2,609.01 and 1,248.96

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Solution

The fourth proportional to 1,732.56, 2,609.01 and 1,248.96 is: 1,880.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.56 : 2,609.01 = 1,248.96 : x
  2. Step 2: Convert to fraction form
    1,732.56/2,609.01 = 1,248.96/x
  3. Step 3: Cross multiply
    1,732.56x = 2,609.01 × 1,248.96
  4. Step 4: Simplify right side
    1,732.56x = 3,258,549.13
  5. Step 5: Solve for x
    x = 3,258,549.13/1,732.56
  6. Step 6: Final answer
    x = 1,880.77

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Why These Related Problems?

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