Home / 1,584.90-2,376.99-474.15

Finding the Fourth Proportional to 1,584.90, 2,376.99 and 474.15

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Solution

The fourth proportional to 1,584.90, 2,376.99 and 474.15 is: 711.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.90 : 2,376.99 = 474.15 : x
  2. Step 2: Convert to fraction form
    1,584.90/2,376.99 = 474.15/x
  3. Step 3: Cross multiply
    1,584.90x = 2,376.99 × 474.15
  4. Step 4: Simplify right side
    1,584.90x = 1,127,049.81
  5. Step 5: Solve for x
    x = 1,127,049.81/1,584.90
  6. Step 6: Final answer
    x = 711.12

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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.