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Finding the Fourth Proportional to 2,642.70, 3,646.87 and 1,463.74

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Solution

The fourth proportional to 2,642.70, 3,646.87 and 1,463.74 is: 2,019.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.70 : 3,646.87 = 1,463.74 : x
  2. Step 2: Convert to fraction form
    2,642.70/3,646.87 = 1,463.74/x
  3. Step 3: Cross multiply
    2,642.70x = 3,646.87 × 1,463.74
  4. Step 4: Simplify right side
    2,642.70x = 5,338,069.49
  5. Step 5: Solve for x
    x = 5,338,069.49/2,642.70
  6. Step 6: Final answer
    x = 2,019.93

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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.