Home / 1,931.03-2,896.49-470.17

Finding the Fourth Proportional to 1,931.03, 2,896.49 and 470.17

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Solution

The fourth proportional to 1,931.03, 2,896.49 and 470.17 is: 705.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.03 : 2,896.49 = 470.17 : x
  2. Step 2: Convert to fraction form
    1,931.03/2,896.49 = 470.17/x
  3. Step 3: Cross multiply
    1,931.03x = 2,896.49 × 470.17
  4. Step 4: Simplify right side
    1,931.03x = 1,361,842.70
  5. Step 5: Solve for x
    x = 1,361,842.70/1,931.03
  6. Step 6: Final answer
    x = 705.24

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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.