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Finding the Fourth Proportional to 2,490.16, 3,729.08 and 1,447.00

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Solution

The fourth proportional to 2,490.16, 3,729.08 and 1,447.00 is: 2,166.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.16 : 3,729.08 = 1,447.00 : x
  2. Step 2: Convert to fraction form
    2,490.16/3,729.08 = 1,447.00/x
  3. Step 3: Cross multiply
    2,490.16x = 3,729.08 × 1,447.00
  4. Step 4: Simplify right side
    2,490.16x = 5,395,965.82
  5. Step 5: Solve for x
    x = 5,395,965.82/2,490.16
  6. Step 6: Final answer
    x = 2,166.92

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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.