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Finding the Fourth Proportional to 2,706.14, 4,061.13 and 975.02

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Solution

The fourth proportional to 2,706.14, 4,061.13 and 975.02 is: 1,463.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.14 : 4,061.13 = 975.02 : x
  2. Step 2: Convert to fraction form
    2,706.14/4,061.13 = 975.02/x
  3. Step 3: Cross multiply
    2,706.14x = 4,061.13 × 975.02
  4. Step 4: Simplify right side
    2,706.14x = 3,959,682.97
  5. Step 5: Solve for x
    x = 3,959,682.97/2,706.14
  6. Step 6: Final answer
    x = 1,463.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.