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Finding the Fourth Proportional to 1,807.67, 2,711.23 and 1,501.49

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Solution

The fourth proportional to 1,807.67, 2,711.23 and 1,501.49 is: 2,252.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.67 : 2,711.23 = 1,501.49 : x
  2. Step 2: Convert to fraction form
    1,807.67/2,711.23 = 1,501.49/x
  3. Step 3: Cross multiply
    1,807.67x = 2,711.23 × 1,501.49
  4. Step 4: Simplify right side
    1,807.67x = 4,070,884.73
  5. Step 5: Solve for x
    x = 4,070,884.73/1,807.67
  6. Step 6: Final answer
    x = 2,252.01

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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.