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Finding the Fourth Proportional to 1,477.41, 2,038.92 and 814.26

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Solution

The fourth proportional to 1,477.41, 2,038.92 and 814.26 is: 1,123.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.41 : 2,038.92 = 814.26 : x
  2. Step 2: Convert to fraction form
    1,477.41/2,038.92 = 814.26/x
  3. Step 3: Cross multiply
    1,477.41x = 2,038.92 × 814.26
  4. Step 4: Simplify right side
    1,477.41x = 1,660,220.17
  5. Step 5: Solve for x
    x = 1,660,220.17/1,477.41
  6. Step 6: Final answer
    x = 1,123.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.