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Finding the Fourth Proportional to 1,560.94, 2,154.09 and 862.31

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Solution

The fourth proportional to 1,560.94, 2,154.09 and 862.31 is: 1,189.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.94 : 2,154.09 = 862.31 : x
  2. Step 2: Convert to fraction form
    1,560.94/2,154.09 = 862.31/x
  3. Step 3: Cross multiply
    1,560.94x = 2,154.09 × 862.31
  4. Step 4: Simplify right side
    1,560.94x = 1,857,501.97
  5. Step 5: Solve for x
    x = 1,857,501.97/1,560.94
  6. Step 6: Final answer
    x = 1,189.99

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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.