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Finding the Fourth Proportional to 2,046.47, 3,070.31 and 952.16

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Solution

The fourth proportional to 2,046.47, 3,070.31 and 952.16 is: 1,428.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.47 : 3,070.31 = 952.16 : x
  2. Step 2: Convert to fraction form
    2,046.47/3,070.31 = 952.16/x
  3. Step 3: Cross multiply
    2,046.47x = 3,070.31 × 952.16
  4. Step 4: Simplify right side
    2,046.47x = 2,923,406.26
  5. Step 5: Solve for x
    x = 2,923,406.26/2,046.47
  6. Step 6: Final answer
    x = 1,428.52

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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.