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Finding the Fourth Proportional to 1,925.39, 2,657.03 and 1,086.09

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Solution

The fourth proportional to 1,925.39, 2,657.03 and 1,086.09 is: 1,498.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925.39 : 2,657.03 = 1,086.09 : x
  2. Step 2: Convert to fraction form
    1,925.39/2,657.03 = 1,086.09/x
  3. Step 3: Cross multiply
    1,925.39x = 2,657.03 × 1,086.09
  4. Step 4: Simplify right side
    1,925.39x = 2,885,773.71
  5. Step 5: Solve for x
    x = 2,885,773.71/1,925.39
  6. Step 6: Final answer
    x = 1,498.80

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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.