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Finding the Fourth Proportional to 2,642.10, 3,646.13 and 1,463.15

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Solution

The fourth proportional to 2,642.10, 3,646.13 and 1,463.15 is: 2,019.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.10 : 3,646.13 = 1,463.15 : x
  2. Step 2: Convert to fraction form
    2,642.10/3,646.13 = 1,463.15/x
  3. Step 3: Cross multiply
    2,642.10x = 3,646.13 × 1,463.15
  4. Step 4: Simplify right side
    2,642.10x = 5,334,809.56
  5. Step 5: Solve for x
    x = 5,334,809.56/2,642.10
  6. Step 6: Final answer
    x = 2,019.16

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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.