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Finding the Fourth Proportional to 2,588.64, 3,569.91 and 1,702.91

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Solution

The fourth proportional to 2,588.64, 3,569.91 and 1,702.91 is: 2,348.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.64 : 3,569.91 = 1,702.91 : x
  2. Step 2: Convert to fraction form
    2,588.64/3,569.91 = 1,702.91/x
  3. Step 3: Cross multiply
    2,588.64x = 3,569.91 × 1,702.91
  4. Step 4: Simplify right side
    2,588.64x = 6,079,217.59
  5. Step 5: Solve for x
    x = 6,079,217.59/2,588.64
  6. Step 6: Final answer
    x = 2,348.42

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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.