Home / 1,582.34-2,373.29-412.41

Finding the Fourth Proportional to 1,582.34, 2,373.29 and 412.41

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Solution

The fourth proportional to 1,582.34, 2,373.29 and 412.41 is: 618.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.34 : 2,373.29 = 412.41 : x
  2. Step 2: Convert to fraction form
    1,582.34/2,373.29 = 412.41/x
  3. Step 3: Cross multiply
    1,582.34x = 2,373.29 × 412.41
  4. Step 4: Simplify right side
    1,582.34x = 978,766.47
  5. Step 5: Solve for x
    x = 978,766.47/1,582.34
  6. Step 6: Final answer
    x = 618.56

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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.