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Finding the Fourth Proportional to 1,702.70, 2,348.96 and 1,113.15

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Solution

The fourth proportional to 1,702.70, 2,348.96 and 1,113.15 is: 1,535.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.70 : 2,348.96 = 1,113.15 : x
  2. Step 2: Convert to fraction form
    1,702.70/2,348.96 = 1,113.15/x
  3. Step 3: Cross multiply
    1,702.70x = 2,348.96 × 1,113.15
  4. Step 4: Simplify right side
    1,702.70x = 2,614,739.26
  5. Step 5: Solve for x
    x = 2,614,739.26/1,702.70
  6. Step 6: Final answer
    x = 1,535.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.