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Finding the Fourth Proportional to 1,925.65, 2,657.10 and 1,086.31

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Solution

The fourth proportional to 1,925.65, 2,657.10 and 1,086.31 is: 1,498.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925.65 : 2,657.10 = 1,086.31 : x
  2. Step 2: Convert to fraction form
    1,925.65/2,657.10 = 1,086.31/x
  3. Step 3: Cross multiply
    1,925.65x = 2,657.10 × 1,086.31
  4. Step 4: Simplify right side
    1,925.65x = 2,886,434.30
  5. Step 5: Solve for x
    x = 2,886,434.30/1,925.65
  6. Step 6: Final answer
    x = 1,498.94

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