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Finding the Fourth Proportional to 2,702.40, 4,052.80 and 1,058.64

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Solution

The fourth proportional to 2,702.40, 4,052.80 and 1,058.64 is: 1,587.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.40 : 4,052.80 = 1,058.64 : x
  2. Step 2: Convert to fraction form
    2,702.40/4,052.80 = 1,058.64/x
  3. Step 3: Cross multiply
    2,702.40x = 4,052.80 × 1,058.64
  4. Step 4: Simplify right side
    2,702.40x = 4,290,456.19
  5. Step 5: Solve for x
    x = 4,290,456.19/2,702.40
  6. Step 6: Final answer
    x = 1,587.65

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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.