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Finding the Fourth Proportional to 2,642.74, 3,646.95 and 1,463.80

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Solution

The fourth proportional to 2,642.74, 3,646.95 and 1,463.80 is: 2,020.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.74 : 3,646.95 = 1,463.80 : x
  2. Step 2: Convert to fraction form
    2,642.74/3,646.95 = 1,463.80/x
  3. Step 3: Cross multiply
    2,642.74x = 3,646.95 × 1,463.80
  4. Step 4: Simplify right side
    2,642.74x = 5,338,405.41
  5. Step 5: Solve for x
    x = 5,338,405.41/2,642.74
  6. Step 6: Final answer
    x = 2,020.03

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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.