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Finding the Fourth Proportional to 2,597.40, 3,909.99 and 2,329.50

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Solution

The fourth proportional to 2,597.40, 3,909.99 and 2,329.50 is: 3,506.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.40 : 3,909.99 = 2,329.50 : x
  2. Step 2: Convert to fraction form
    2,597.40/3,909.99 = 2,329.50/x
  3. Step 3: Cross multiply
    2,597.40x = 3,909.99 × 2,329.50
  4. Step 4: Simplify right side
    2,597.40x = 9,108,321.71
  5. Step 5: Solve for x
    x = 9,108,321.71/2,597.40
  6. Step 6: Final answer
    x = 3,506.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.