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Finding the Fourth Proportional to 2,148.51, 3,222.23 and 588.52

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Solution

The fourth proportional to 2,148.51, 3,222.23 and 588.52 is: 882.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.51 : 3,222.23 = 588.52 : x
  2. Step 2: Convert to fraction form
    2,148.51/3,222.23 = 588.52/x
  3. Step 3: Cross multiply
    2,148.51x = 3,222.23 × 588.52
  4. Step 4: Simplify right side
    2,148.51x = 1,896,346.80
  5. Step 5: Solve for x
    x = 1,896,346.80/2,148.51
  6. Step 6: Final answer
    x = 882.63

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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.