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Finding the Fourth Proportional to 2,148.48, 3,222.93 and 588.57

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Solution

The fourth proportional to 2,148.48, 3,222.93 and 588.57 is: 882.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.48 : 3,222.93 = 588.57 : x
  2. Step 2: Convert to fraction form
    2,148.48/3,222.93 = 588.57/x
  3. Step 3: Cross multiply
    2,148.48x = 3,222.93 × 588.57
  4. Step 4: Simplify right side
    2,148.48x = 1,896,919.91
  5. Step 5: Solve for x
    x = 1,896,919.91/2,148.48
  6. Step 6: Final answer
    x = 882.91

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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.