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Finding the Fourth Proportional to 1,512.48, 2,087.33 and 922.53

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Solution

The fourth proportional to 1,512.48, 2,087.33 and 922.53 is: 1,273.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.48 : 2,087.33 = 922.53 : x
  2. Step 2: Convert to fraction form
    1,512.48/2,087.33 = 922.53/x
  3. Step 3: Cross multiply
    1,512.48x = 2,087.33 × 922.53
  4. Step 4: Simplify right side
    1,512.48x = 1,925,619.93
  5. Step 5: Solve for x
    x = 1,925,619.93/1,512.48
  6. Step 6: Final answer
    x = 1,273.15

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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.