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Finding the Fourth Proportional to 2,332.65, 3,499.07 and 772.79

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Solution

The fourth proportional to 2,332.65, 3,499.07 and 772.79 is: 1,159.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.65 : 3,499.07 = 772.79 : x
  2. Step 2: Convert to fraction form
    2,332.65/3,499.07 = 772.79/x
  3. Step 3: Cross multiply
    2,332.65x = 3,499.07 × 772.79
  4. Step 4: Simplify right side
    2,332.65x = 2,704,051.15
  5. Step 5: Solve for x
    x = 2,704,051.15/2,332.65
  6. Step 6: Final answer
    x = 1,159.22

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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.