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Finding the Fourth Proportional to 2,477.05, 3,712.16 and 1,141.90

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Solution

The fourth proportional to 2,477.05, 3,712.16 and 1,141.90 is: 1,711.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.05 : 3,712.16 = 1,141.90 : x
  2. Step 2: Convert to fraction form
    2,477.05/3,712.16 = 1,141.90/x
  3. Step 3: Cross multiply
    2,477.05x = 3,712.16 × 1,141.90
  4. Step 4: Simplify right side
    2,477.05x = 4,238,909.08
  5. Step 5: Solve for x
    x = 4,238,909.08/2,477.05
  6. Step 6: Final answer
    x = 1,711.27

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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.