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Finding the Fourth Proportional to 1,760.70, 2,422.15 and 1,522.87

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Solution

The fourth proportional to 1,760.70, 2,422.15 and 1,522.87 is: 2,094.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.70 : 2,422.15 = 1,522.87 : x
  2. Step 2: Convert to fraction form
    1,760.70/2,422.15 = 1,522.87/x
  3. Step 3: Cross multiply
    1,760.70x = 2,422.15 × 1,522.87
  4. Step 4: Simplify right side
    1,760.70x = 3,688,619.57
  5. Step 5: Solve for x
    x = 3,688,619.57/1,760.70
  6. Step 6: Final answer
    x = 2,094.97

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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.