Home / 1,583.47-2,373.85-610.26

Finding the Fourth Proportional to 1,583.47, 2,373.85 and 610.26

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Solution

The fourth proportional to 1,583.47, 2,373.85 and 610.26 is: 914.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.47 : 2,373.85 = 610.26 : x
  2. Step 2: Convert to fraction form
    1,583.47/2,373.85 = 610.26/x
  3. Step 3: Cross multiply
    1,583.47x = 2,373.85 × 610.26
  4. Step 4: Simplify right side
    1,583.47x = 1,448,665.70
  5. Step 5: Solve for x
    x = 1,448,665.70/1,583.47
  6. Step 6: Final answer
    x = 914.87

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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.