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Finding the Fourth Proportional to 4,292.40, 6,440.16 and 1,697.12

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Solution

The fourth proportional to 4,292.40, 6,440.16 and 1,697.12 is: 2,546.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,292.40 : 6,440.16 = 1,697.12 : x
  2. Step 2: Convert to fraction form
    4,292.40/6,440.16 = 1,697.12/x
  3. Step 3: Cross multiply
    4,292.40x = 6,440.16 × 1,697.12
  4. Step 4: Simplify right side
    4,292.40x = 10,929,724.34
  5. Step 5: Solve for x
    x = 10,929,724.34/4,292.40
  6. Step 6: Final answer
    x = 2,546.30

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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.