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Finding the Fourth Proportional to 4,266.10, 6,400.14 and 1,344.16

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Solution

The fourth proportional to 4,266.10, 6,400.14 and 1,344.16 is: 2,016.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266.10 : 6,400.14 = 1,344.16 : x
  2. Step 2: Convert to fraction form
    4,266.10/6,400.14 = 1,344.16/x
  3. Step 3: Cross multiply
    4,266.10x = 6,400.14 × 1,344.16
  4. Step 4: Simplify right side
    4,266.10x = 8,602,812.18
  5. Step 5: Solve for x
    x = 8,602,812.18/4,266.10
  6. Step 6: Final answer
    x = 2,016.55

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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.