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Finding the Fourth Proportional to 2,884.40, 4,327.97 and 1,497.00

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Solution

The fourth proportional to 2,884.40, 4,327.97 and 1,497.00 is: 2,246.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.40 : 4,327.97 = 1,497.00 : x
  2. Step 2: Convert to fraction form
    2,884.40/4,327.97 = 1,497.00/x
  3. Step 3: Cross multiply
    2,884.40x = 4,327.97 × 1,497.00
  4. Step 4: Simplify right side
    2,884.40x = 6,478,941.97
  5. Step 5: Solve for x
    x = 6,478,941.97/2,884.40
  6. Step 6: Final answer
    x = 2,246.20

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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.