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Finding the Fourth Proportional to 2,148.55, 3,222.50 and 588.65

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Solution

The fourth proportional to 2,148.55, 3,222.50 and 588.65 is: 882.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.55 : 3,222.50 = 588.65 : x
  2. Step 2: Convert to fraction form
    2,148.55/3,222.50 = 588.65/x
  3. Step 3: Cross multiply
    2,148.55x = 3,222.50 × 588.65
  4. Step 4: Simplify right side
    2,148.55x = 1,896,905.57
  5. Step 5: Solve for x
    x = 1,896,905.57/2,148.55
  6. Step 6: Final answer
    x = 882.88

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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.