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Finding the Fourth Proportional to 2,702.67, 4,053.54 and 1,058.64

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Solution

The fourth proportional to 2,702.67, 4,053.54 and 1,058.64 is: 1,587.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.67 : 4,053.54 = 1,058.64 : x
  2. Step 2: Convert to fraction form
    2,702.67/4,053.54 = 1,058.64/x
  3. Step 3: Cross multiply
    2,702.67x = 4,053.54 × 1,058.64
  4. Step 4: Simplify right side
    2,702.67x = 4,291,239.59
  5. Step 5: Solve for x
    x = 4,291,239.59/2,702.67
  6. Step 6: Final answer
    x = 1,587.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.