Home / 1,581.50-2,371.78-471.00

Finding the Fourth Proportional to 1,581.50, 2,371.78 and 471.00

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Solution

The fourth proportional to 1,581.50, 2,371.78 and 471.00 is: 706.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.50 : 2,371.78 = 471.00 : x
  2. Step 2: Convert to fraction form
    1,581.50/2,371.78 = 471.00/x
  3. Step 3: Cross multiply
    1,581.50x = 2,371.78 × 471.00
  4. Step 4: Simplify right side
    1,581.50x = 1,117,116.02
  5. Step 5: Solve for x
    x = 1,117,116.02/1,581.50
  6. Step 6: Final answer
    x = 706.36

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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.