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Finding the Fourth Proportional to 2,264.46, 3,126.04 and 1,518.14

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Solution

The fourth proportional to 2,264.46, 3,126.04 and 1,518.14 is: 2,095.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.46 : 3,126.04 = 1,518.14 : x
  2. Step 2: Convert to fraction form
    2,264.46/3,126.04 = 1,518.14/x
  3. Step 3: Cross multiply
    2,264.46x = 3,126.04 × 1,518.14
  4. Step 4: Simplify right side
    2,264.46x = 4,745,778.92
  5. Step 5: Solve for x
    x = 4,745,778.92/2,264.46
  6. Step 6: Final answer
    x = 2,095.77

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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.