Home / 1,584.31-2,376.01-610.18

Finding the Fourth Proportional to 1,584.31, 2,376.01 and 610.18

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Solution

The fourth proportional to 1,584.31, 2,376.01 and 610.18 is: 915.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.31 : 2,376.01 = 610.18 : x
  2. Step 2: Convert to fraction form
    1,584.31/2,376.01 = 610.18/x
  3. Step 3: Cross multiply
    1,584.31x = 2,376.01 × 610.18
  4. Step 4: Simplify right side
    1,584.31x = 1,449,800.25
  5. Step 5: Solve for x
    x = 1,449,800.25/1,584.31
  6. Step 6: Final answer
    x = 915.10

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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.