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Finding the Fourth Proportional to 3,047.76, 4,207.14 and 2,301.89

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Solution

The fourth proportional to 3,047.76, 4,207.14 and 2,301.89 is: 3,177.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.76 : 4,207.14 = 2,301.89 : x
  2. Step 2: Convert to fraction form
    3,047.76/4,207.14 = 2,301.89/x
  3. Step 3: Cross multiply
    3,047.76x = 4,207.14 × 2,301.89
  4. Step 4: Simplify right side
    3,047.76x = 9,684,352.46
  5. Step 5: Solve for x
    x = 9,684,352.46/3,047.76
  6. Step 6: Final answer
    x = 3,177.53

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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.