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Finding the Fourth Proportional to 2,818.40, 4,230.15 and 1,432.70

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Solution

The fourth proportional to 2,818.40, 4,230.15 and 1,432.70 is: 2,150.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.40 : 4,230.15 = 1,432.70 : x
  2. Step 2: Convert to fraction form
    2,818.40/4,230.15 = 1,432.70/x
  3. Step 3: Cross multiply
    2,818.40x = 4,230.15 × 1,432.70
  4. Step 4: Simplify right side
    2,818.40x = 6,060,535.91
  5. Step 5: Solve for x
    x = 6,060,535.91/2,818.40
  6. Step 6: Final answer
    x = 2,150.35

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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.