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Finding the Fourth Proportional to 1,702.58, 2,549.61 and 1,341.72

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Solution

The fourth proportional to 1,702.58, 2,549.61 and 1,341.72 is: 2,009.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.58 : 2,549.61 = 1,341.72 : x
  2. Step 2: Convert to fraction form
    1,702.58/2,549.61 = 1,341.72/x
  3. Step 3: Cross multiply
    1,702.58x = 2,549.61 × 1,341.72
  4. Step 4: Simplify right side
    1,702.58x = 3,420,862.73
  5. Step 5: Solve for x
    x = 3,420,862.73/1,702.58
  6. Step 6: Final answer
    x = 2,009.23

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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.