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Finding the Fourth Proportional to 4,287.94, 6,432.18 and 1,656.70

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Solution

The fourth proportional to 4,287.94, 6,432.18 and 1,656.70 is: 2,485.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287.94 : 6,432.18 = 1,656.70 : x
  2. Step 2: Convert to fraction form
    4,287.94/6,432.18 = 1,656.70/x
  3. Step 3: Cross multiply
    4,287.94x = 6,432.18 × 1,656.70
  4. Step 4: Simplify right side
    4,287.94x = 10,656,192.61
  5. Step 5: Solve for x
    x = 10,656,192.61/4,287.94
  6. Step 6: Final answer
    x = 2,485.15

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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.