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Finding the Fourth Proportional to 2,329.98, 3,466.07 and 2,306.49

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Solution

The fourth proportional to 2,329.98, 3,466.07 and 2,306.49 is: 3,431.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.98 : 3,466.07 = 2,306.49 : x
  2. Step 2: Convert to fraction form
    2,329.98/3,466.07 = 2,306.49/x
  3. Step 3: Cross multiply
    2,329.98x = 3,466.07 × 2,306.49
  4. Step 4: Simplify right side
    2,329.98x = 7,994,444.26
  5. Step 5: Solve for x
    x = 7,994,444.26/2,329.98
  6. Step 6: Final answer
    x = 3,431.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.