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Finding the Fourth Proportional to 1,833.49, 2,750.25 and 1,470.58

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Solution

The fourth proportional to 1,833.49, 2,750.25 and 1,470.58 is: 2,205.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.49 : 2,750.25 = 1,470.58 : x
  2. Step 2: Convert to fraction form
    1,833.49/2,750.25 = 1,470.58/x
  3. Step 3: Cross multiply
    1,833.49x = 2,750.25 × 1,470.58
  4. Step 4: Simplify right side
    1,833.49x = 4,044,462.65
  5. Step 5: Solve for x
    x = 4,044,462.65/1,833.49
  6. Step 6: Final answer
    x = 2,205.88

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