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Finding the Fourth Proportional to 2,513.70, 3,468.69 and 1,465.83

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Solution

The fourth proportional to 2,513.70, 3,468.69 and 1,465.83 is: 2,022.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.70 : 3,468.69 = 1,465.83 : x
  2. Step 2: Convert to fraction form
    2,513.70/3,468.69 = 1,465.83/x
  3. Step 3: Cross multiply
    2,513.70x = 3,468.69 × 1,465.83
  4. Step 4: Simplify right side
    2,513.70x = 5,084,509.86
  5. Step 5: Solve for x
    x = 5,084,509.86/2,513.70
  6. Step 6: Final answer
    x = 2,022.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.