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Finding the Fourth Proportional to 2,294.84, 3,437.94 and 1,470.44

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Solution

The fourth proportional to 2,294.84, 3,437.94 and 1,470.44 is: 2,202.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.84 : 3,437.94 = 1,470.44 : x
  2. Step 2: Convert to fraction form
    2,294.84/3,437.94 = 1,470.44/x
  3. Step 3: Cross multiply
    2,294.84x = 3,437.94 × 1,470.44
  4. Step 4: Simplify right side
    2,294.84x = 5,055,284.49
  5. Step 5: Solve for x
    x = 5,055,284.49/2,294.84
  6. Step 6: Final answer
    x = 2,202.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.