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Finding the Fourth Proportional to 2,294.01, 3,168.59 and 2,259.45

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Solution

The fourth proportional to 2,294.01, 3,168.59 and 2,259.45 is: 3,120.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.01 : 3,168.59 = 2,259.45 : x
  2. Step 2: Convert to fraction form
    2,294.01/3,168.59 = 2,259.45/x
  3. Step 3: Cross multiply
    2,294.01x = 3,168.59 × 2,259.45
  4. Step 4: Simplify right side
    2,294.01x = 7,159,259.38
  5. Step 5: Solve for x
    x = 7,159,259.38/2,294.01
  6. Step 6: Final answer
    x = 3,120.85

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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.