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Finding the Fourth Proportional to 1,925.43, 2,657.09 and 1,041.24

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Solution

The fourth proportional to 1,925.43, 2,657.09 and 1,041.24 is: 1,436.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925.43 : 2,657.09 = 1,041.24 : x
  2. Step 2: Convert to fraction form
    1,925.43/2,657.09 = 1,041.24/x
  3. Step 3: Cross multiply
    1,925.43x = 2,657.09 × 1,041.24
  4. Step 4: Simplify right side
    1,925.43x = 2,766,652.50
  5. Step 5: Solve for x
    x = 2,766,652.50/1,925.43
  6. Step 6: Final answer
    x = 1,436.90

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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.