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Finding the Fourth Proportional to 1,807.61, 2,709.30 and 831.65

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Solution

The fourth proportional to 1,807.61, 2,709.30 and 831.65 is: 1,246.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.61 : 2,709.30 = 831.65 : x
  2. Step 2: Convert to fraction form
    1,807.61/2,709.30 = 831.65/x
  3. Step 3: Cross multiply
    1,807.61x = 2,709.30 × 831.65
  4. Step 4: Simplify right side
    1,807.61x = 2,253,175.80
  5. Step 5: Solve for x
    x = 2,253,175.80/1,807.61
  6. Step 6: Final answer
    x = 1,246.50

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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.