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Finding the Fourth Proportional to 1,425.75, 2,129.94 and 928.11

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Solution

The fourth proportional to 1,425.75, 2,129.94 and 928.11 is: 1,386.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.75 : 2,129.94 = 928.11 : x
  2. Step 2: Convert to fraction form
    1,425.75/2,129.94 = 928.11/x
  3. Step 3: Cross multiply
    1,425.75x = 2,129.94 × 928.11
  4. Step 4: Simplify right side
    1,425.75x = 1,976,818.61
  5. Step 5: Solve for x
    x = 1,976,818.61/1,425.75
  6. Step 6: Final answer
    x = 1,386.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.