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Finding the Fourth Proportional to 2,148.59, 3,222.98 and 588.56

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Solution

The fourth proportional to 2,148.59, 3,222.98 and 588.56 is: 882.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.59 : 3,222.98 = 588.56 : x
  2. Step 2: Convert to fraction form
    2,148.59/3,222.98 = 588.56/x
  3. Step 3: Cross multiply
    2,148.59x = 3,222.98 × 588.56
  4. Step 4: Simplify right side
    2,148.59x = 1,896,898.05
  5. Step 5: Solve for x
    x = 1,896,898.05/2,148.59
  6. Step 6: Final answer
    x = 882.86

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1.5x scale

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.