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Finding the Fourth Proportional to 2,484.83, 3,727.38 and 925.25

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Solution

The fourth proportional to 2,484.83, 3,727.38 and 925.25 is: 1,387.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.83 : 3,727.38 = 925.25 : x
  2. Step 2: Convert to fraction form
    2,484.83/3,727.38 = 925.25/x
  3. Step 3: Cross multiply
    2,484.83x = 3,727.38 × 925.25
  4. Step 4: Simplify right side
    2,484.83x = 3,448,739.71
  5. Step 5: Solve for x
    x = 3,448,739.71/2,484.83
  6. Step 6: Final answer
    x = 1,387.92

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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.