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Finding the Fourth Proportional to 1,871.29, 2,805.40 and 775.06

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Solution

The fourth proportional to 1,871.29, 2,805.40 and 775.06 is: 1,161.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.29 : 2,805.40 = 775.06 : x
  2. Step 2: Convert to fraction form
    1,871.29/2,805.40 = 775.06/x
  3. Step 3: Cross multiply
    1,871.29x = 2,805.40 × 775.06
  4. Step 4: Simplify right side
    1,871.29x = 2,174,353.32
  5. Step 5: Solve for x
    x = 2,174,353.32/1,871.29
  6. Step 6: Final answer
    x = 1,161.95

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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.