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Finding the Fourth Proportional to 2,377.11, 3,562.02 and 1,645.08

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Solution

The fourth proportional to 2,377.11, 3,562.02 and 1,645.08 is: 2,465.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.11 : 3,562.02 = 1,645.08 : x
  2. Step 2: Convert to fraction form
    2,377.11/3,562.02 = 1,645.08/x
  3. Step 3: Cross multiply
    2,377.11x = 3,562.02 × 1,645.08
  4. Step 4: Simplify right side
    2,377.11x = 5,859,807.86
  5. Step 5: Solve for x
    x = 5,859,807.86/2,377.11
  6. Step 6: Final answer
    x = 2,465.10

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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.