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Finding the Fourth Proportional to 2,443.90, 3,430.10 and 2,443.90

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Solution

The fourth proportional to 2,443.90, 3,430.10 and 2,443.90 is: 3,430.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.90 : 3,430.10 = 2,443.90 : x
  2. Step 2: Convert to fraction form
    2,443.90/3,430.10 = 2,443.90/x
  3. Step 3: Cross multiply
    2,443.90x = 3,430.10 × 2,443.90
  4. Step 4: Simplify right side
    2,443.90x = 8,382,821.39
  5. Step 5: Solve for x
    x = 8,382,821.39/2,443.90
  6. Step 6: Final answer
    x = 3,430.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.