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Finding the Fourth Proportional to 1,494.41, 2,241.36 and 454.16

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Solution

The fourth proportional to 1,494.41, 2,241.36 and 454.16 is: 681.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.41 : 2,241.36 = 454.16 : x
  2. Step 2: Convert to fraction form
    1,494.41/2,241.36 = 454.16/x
  3. Step 3: Cross multiply
    1,494.41x = 2,241.36 × 454.16
  4. Step 4: Simplify right side
    1,494.41x = 1,017,941.66
  5. Step 5: Solve for x
    x = 1,017,941.66/1,494.41
  6. Step 6: Final answer
    x = 681.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.