Home / 1,624.38-2,436.48-470.16

Finding the Fourth Proportional to 1,624.38, 2,436.48 and 470.16

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Solution

The fourth proportional to 1,624.38, 2,436.48 and 470.16 is: 705.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.38 : 2,436.48 = 470.16 : x
  2. Step 2: Convert to fraction form
    1,624.38/2,436.48 = 470.16/x
  3. Step 3: Cross multiply
    1,624.38x = 2,436.48 × 470.16
  4. Step 4: Simplify right side
    1,624.38x = 1,145,535.44
  5. Step 5: Solve for x
    x = 1,145,535.44/1,624.38
  6. Step 6: Final answer
    x = 705.21

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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.