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Finding the Fourth Proportional to 1,925.97, 2,658.11 and 1,087.01

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Solution

The fourth proportional to 1,925.97, 2,658.11 and 1,087.01 is: 1,500.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925.97 : 2,658.11 = 1,087.01 : x
  2. Step 2: Convert to fraction form
    1,925.97/2,658.11 = 1,087.01/x
  3. Step 3: Cross multiply
    1,925.97x = 2,658.11 × 1,087.01
  4. Step 4: Simplify right side
    1,925.97x = 2,889,392.15
  5. Step 5: Solve for x
    x = 2,889,392.15/1,925.97
  6. Step 6: Final answer
    x = 1,500.23

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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.