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Finding the Fourth Proportional to 2,582.59, 3,875.73 and 940.54

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Solution

The fourth proportional to 2,582.59, 3,875.73 and 940.54 is: 1,411.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.59 : 3,875.73 = 940.54 : x
  2. Step 2: Convert to fraction form
    2,582.59/3,875.73 = 940.54/x
  3. Step 3: Cross multiply
    2,582.59x = 3,875.73 × 940.54
  4. Step 4: Simplify right side
    2,582.59x = 3,645,279.09
  5. Step 5: Solve for x
    x = 3,645,279.09/2,582.59
  6. Step 6: Final answer
    x = 1,411.48

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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.