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Finding the Fourth Proportional to 3,047.16, 4,204.88 and 1,721

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Solution

The fourth proportional to 3,047.16, 4,204.88 and 1,721 is: 2,374.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.16 : 4,204.88 = 1,721 : x
  2. Step 2: Convert to fraction form
    3,047.16/4,204.88 = 1,721/x
  3. Step 3: Cross multiply
    3,047.16x = 4,204.88 × 1,721
  4. Step 4: Simplify right side
    3,047.16x = 7,236,598.48
  5. Step 5: Solve for x
    x = 7,236,598.48/3,047.16
  6. Step 6: Final answer
    x = 2,374.87

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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.