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Finding the Fourth Proportional to 1,702.09, 2,548.17 and 1,265.28

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Solution

The fourth proportional to 1,702.09, 2,548.17 and 1,265.28 is: 1,894.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.09 : 2,548.17 = 1,265.28 : x
  2. Step 2: Convert to fraction form
    1,702.09/2,548.17 = 1,265.28/x
  3. Step 3: Cross multiply
    1,702.09x = 2,548.17 × 1,265.28
  4. Step 4: Simplify right side
    1,702.09x = 3,224,148.54
  5. Step 5: Solve for x
    x = 3,224,148.54/1,702.09
  6. Step 6: Final answer
    x = 1,894.23

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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.