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Finding the Fourth Proportional to 1,702.57, 2,556.90 and 1,432.24

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Solution

The fourth proportional to 1,702.57, 2,556.90 and 1,432.24 is: 2,150.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.57 : 2,556.90 = 1,432.24 : x
  2. Step 2: Convert to fraction form
    1,702.57/2,556.90 = 1,432.24/x
  3. Step 3: Cross multiply
    1,702.57x = 2,556.90 × 1,432.24
  4. Step 4: Simplify right side
    1,702.57x = 3,662,094.46
  5. Step 5: Solve for x
    x = 3,662,094.46/1,702.57
  6. Step 6: Final answer
    x = 2,150.92

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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.