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Finding the Fourth Proportional to 1,931.31, 2,895.03 and 760.57

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Solution

The fourth proportional to 1,931.31, 2,895.03 and 760.57 is: 1,140.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.31 : 2,895.03 = 760.57 : x
  2. Step 2: Convert to fraction form
    1,931.31/2,895.03 = 760.57/x
  3. Step 3: Cross multiply
    1,931.31x = 2,895.03 × 760.57
  4. Step 4: Simplify right side
    1,931.31x = 2,201,865.73
  5. Step 5: Solve for x
    x = 2,201,865.73/1,931.31
  6. Step 6: Final answer
    x = 1,140.09

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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.