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Finding the Fourth Proportional to 1,353.06, 1,866.33 and 886.50

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Solution

The fourth proportional to 1,353.06, 1,866.33 and 886.50 is: 1,222.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.06 : 1,866.33 = 886.50 : x
  2. Step 2: Convert to fraction form
    1,353.06/1,866.33 = 886.50/x
  3. Step 3: Cross multiply
    1,353.06x = 1,866.33 × 886.50
  4. Step 4: Simplify right side
    1,353.06x = 1,654,501.55
  5. Step 5: Solve for x
    x = 1,654,501.55/1,353.06
  6. Step 6: Final answer
    x = 1,222.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.