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Finding the Fourth Proportional to 2,290.52, 3,433.98 and 2,047.16

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Solution

The fourth proportional to 2,290.52, 3,433.98 and 2,047.16 is: 3,069.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.52 : 3,433.98 = 2,047.16 : x
  2. Step 2: Convert to fraction form
    2,290.52/3,433.98 = 2,047.16/x
  3. Step 3: Cross multiply
    2,290.52x = 3,433.98 × 2,047.16
  4. Step 4: Simplify right side
    2,290.52x = 7,029,906.50
  5. Step 5: Solve for x
    x = 7,029,906.50/2,290.52
  6. Step 6: Final answer
    x = 3,069.13

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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.