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Finding the Fourth Proportional to 2,974.51, 4,462.13 and 2,810.71

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Solution

The fourth proportional to 2,974.51, 4,462.13 and 2,810.71 is: 4,216.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.51 : 4,462.13 = 2,810.71 : x
  2. Step 2: Convert to fraction form
    2,974.51/4,462.13 = 2,810.71/x
  3. Step 3: Cross multiply
    2,974.51x = 4,462.13 × 2,810.71
  4. Step 4: Simplify right side
    2,974.51x = 12,541,753.41
  5. Step 5: Solve for x
    x = 12,541,753.41/2,974.51
  6. Step 6: Final answer
    x = 4,216.41

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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.