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Finding the Fourth Proportional to 1,873.71, 2,807.49 and 640.45

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Solution

The fourth proportional to 1,873.71, 2,807.49 and 640.45 is: 959.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.71 : 2,807.49 = 640.45 : x
  2. Step 2: Convert to fraction form
    1,873.71/2,807.49 = 640.45/x
  3. Step 3: Cross multiply
    1,873.71x = 2,807.49 × 640.45
  4. Step 4: Simplify right side
    1,873.71x = 1,798,049.95
  5. Step 5: Solve for x
    x = 1,798,049.95/1,873.71
  6. Step 6: Final answer
    x = 959.62

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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.