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Finding the Fourth Proportional to 2,582.86, 3,875.82 and 1,023.02

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Solution

The fourth proportional to 2,582.86, 3,875.82 and 1,023.02 is: 1,535.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.86 : 3,875.82 = 1,023.02 : x
  2. Step 2: Convert to fraction form
    2,582.86/3,875.82 = 1,023.02/x
  3. Step 3: Cross multiply
    2,582.86x = 3,875.82 × 1,023.02
  4. Step 4: Simplify right side
    2,582.86x = 3,965,041.38
  5. Step 5: Solve for x
    x = 3,965,041.38/2,582.86
  6. Step 6: Final answer
    x = 1,535.14

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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.