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Finding the Fourth Proportional to 2,510.56, 3,464.71 and 1,391.63

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Solution

The fourth proportional to 2,510.56, 3,464.71 and 1,391.63 is: 1,920.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.56 : 3,464.71 = 1,391.63 : x
  2. Step 2: Convert to fraction form
    2,510.56/3,464.71 = 1,391.63/x
  3. Step 3: Cross multiply
    2,510.56x = 3,464.71 × 1,391.63
  4. Step 4: Simplify right side
    2,510.56x = 4,821,594.38
  5. Step 5: Solve for x
    x = 4,821,594.38/2,510.56
  6. Step 6: Final answer
    x = 1,920.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.