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Finding the Fourth Proportional to 2,510.42, 3,464.29 and 1,391.46

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Solution

The fourth proportional to 2,510.42, 3,464.29 and 1,391.46 is: 1,920.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.42 : 3,464.29 = 1,391.46 : x
  2. Step 2: Convert to fraction form
    2,510.42/3,464.29 = 1,391.46/x
  3. Step 3: Cross multiply
    2,510.42x = 3,464.29 × 1,391.46
  4. Step 4: Simplify right side
    2,510.42x = 4,820,408.38
  5. Step 5: Solve for x
    x = 4,820,408.38/2,510.42
  6. Step 6: Final answer
    x = 1,920.16

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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.