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Finding the Fourth Proportional to 2,301.64, 3,176.36 and 1,253.76

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Solution

The fourth proportional to 2,301.64, 3,176.36 and 1,253.76 is: 1,730.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.64 : 3,176.36 = 1,253.76 : x
  2. Step 2: Convert to fraction form
    2,301.64/3,176.36 = 1,253.76/x
  3. Step 3: Cross multiply
    2,301.64x = 3,176.36 × 1,253.76
  4. Step 4: Simplify right side
    2,301.64x = 3,982,393.11
  5. Step 5: Solve for x
    x = 3,982,393.11/2,301.64
  6. Step 6: Final answer
    x = 1,730.24

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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.