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Finding the Fourth Proportional to 2,652.17, 3,970.04 and 2,258.51

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Solution

The fourth proportional to 2,652.17, 3,970.04 and 2,258.51 is: 3,380.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.17 : 3,970.04 = 2,258.51 : x
  2. Step 2: Convert to fraction form
    2,652.17/3,970.04 = 2,258.51/x
  3. Step 3: Cross multiply
    2,652.17x = 3,970.04 × 2,258.51
  4. Step 4: Simplify right side
    2,652.17x = 8,966,343.90
  5. Step 5: Solve for x
    x = 8,966,343.90/2,652.17
  6. Step 6: Final answer
    x = 3,380.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.