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Finding the Fourth Proportional to 2,574.86, 3,862.51 and 725.99

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Solution

The fourth proportional to 2,574.86, 3,862.51 and 725.99 is: 1,089.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.86 : 3,862.51 = 725.99 : x
  2. Step 2: Convert to fraction form
    2,574.86/3,862.51 = 725.99/x
  3. Step 3: Cross multiply
    2,574.86x = 3,862.51 × 725.99
  4. Step 4: Simplify right side
    2,574.86x = 2,804,148.32
  5. Step 5: Solve for x
    x = 2,804,148.32/2,574.86
  6. Step 6: Final answer
    x = 1,089.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.