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Finding the Fourth Proportional to 2,884.61, 4,324.29 and 1,403.02

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Solution

The fourth proportional to 2,884.61, 4,324.29 and 1,403.02 is: 2,103.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.61 : 4,324.29 = 1,403.02 : x
  2. Step 2: Convert to fraction form
    2,884.61/4,324.29 = 1,403.02/x
  3. Step 3: Cross multiply
    2,884.61x = 4,324.29 × 1,403.02
  4. Step 4: Simplify right side
    2,884.61x = 6,067,065.50
  5. Step 5: Solve for x
    x = 6,067,065.50/2,884.61
  6. Step 6: Final answer
    x = 2,103.25

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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.