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Finding the Fourth Proportional to 2,264.76, 3,397.21 and 1,277.64

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Solution

The fourth proportional to 2,264.76, 3,397.21 and 1,277.64 is: 1,916.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.76 : 3,397.21 = 1,277.64 : x
  2. Step 2: Convert to fraction form
    2,264.76/3,397.21 = 1,277.64/x
  3. Step 3: Cross multiply
    2,264.76x = 3,397.21 × 1,277.64
  4. Step 4: Simplify right side
    2,264.76x = 4,340,408.19
  5. Step 5: Solve for x
    x = 4,340,408.19/2,264.76
  6. Step 6: Final answer
    x = 1,916.50

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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.