Home / 1,581.34-2,371.67-470.76

Finding the Fourth Proportional to 1,581.34, 2,371.67 and 470.76

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Solution

The fourth proportional to 1,581.34, 2,371.67 and 470.76 is: 706.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.34 : 2,371.67 = 470.76 : x
  2. Step 2: Convert to fraction form
    1,581.34/2,371.67 = 470.76/x
  3. Step 3: Cross multiply
    1,581.34x = 2,371.67 × 470.76
  4. Step 4: Simplify right side
    1,581.34x = 1,116,475.51
  5. Step 5: Solve for x
    x = 1,116,475.51/1,581.34
  6. Step 6: Final answer
    x = 706.03

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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.