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Finding the Fourth Proportional to 1,560.70, 2,330.93 and 1,414.16

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Solution

The fourth proportional to 1,560.70, 2,330.93 and 1,414.16 is: 2,112.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.70 : 2,330.93 = 1,414.16 : x
  2. Step 2: Convert to fraction form
    1,560.70/2,330.93 = 1,414.16/x
  3. Step 3: Cross multiply
    1,560.70x = 2,330.93 × 1,414.16
  4. Step 4: Simplify right side
    1,560.70x = 3,296,289.24
  5. Step 5: Solve for x
    x = 3,296,289.24/1,560.70
  6. Step 6: Final answer
    x = 2,112.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.