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Finding the Fourth Proportional to 2,574.83, 3,862.26 and 1,702.92

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Solution

The fourth proportional to 2,574.83, 3,862.26 and 1,702.92 is: 2,554.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.83 : 3,862.26 = 1,702.92 : x
  2. Step 2: Convert to fraction form
    2,574.83/3,862.26 = 1,702.92/x
  3. Step 3: Cross multiply
    2,574.83x = 3,862.26 × 1,702.92
  4. Step 4: Simplify right side
    2,574.83x = 6,577,119.80
  5. Step 5: Solve for x
    x = 6,577,119.80/2,574.83
  6. Step 6: Final answer
    x = 2,554.39

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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.