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Finding the Fourth Proportional to 2,041.46, 2,817.17 and 1,145.19

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Solution

The fourth proportional to 2,041.46, 2,817.17 and 1,145.19 is: 1,580.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.46 : 2,817.17 = 1,145.19 : x
  2. Step 2: Convert to fraction form
    2,041.46/2,817.17 = 1,145.19/x
  3. Step 3: Cross multiply
    2,041.46x = 2,817.17 × 1,145.19
  4. Step 4: Simplify right side
    2,041.46x = 3,226,194.91
  5. Step 5: Solve for x
    x = 3,226,194.91/2,041.46
  6. Step 6: Final answer
    x = 1,580.34

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Why These Related Problems?

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