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Finding the Fourth Proportional to 2,147.98, 2,964.59 and 1,560.22

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Solution

The fourth proportional to 2,147.98, 2,964.59 and 1,560.22 is: 2,153.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.98 : 2,964.59 = 1,560.22 : x
  2. Step 2: Convert to fraction form
    2,147.98/2,964.59 = 1,560.22/x
  3. Step 3: Cross multiply
    2,147.98x = 2,964.59 × 1,560.22
  4. Step 4: Simplify right side
    2,147.98x = 4,625,412.61
  5. Step 5: Solve for x
    x = 4,625,412.61/2,147.98
  6. Step 6: Final answer
    x = 2,153.38

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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.