Home / 1,578.47-2,367.70-1,031.11

Finding the Fourth Proportional to 1,578.47, 2,367.70 and 1,031.11

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Solution

The fourth proportional to 1,578.47, 2,367.70 and 1,031.11 is: 1,546.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.47 : 2,367.70 = 1,031.11 : x
  2. Step 2: Convert to fraction form
    1,578.47/2,367.70 = 1,031.11/x
  3. Step 3: Cross multiply
    1,578.47x = 2,367.70 × 1,031.11
  4. Step 4: Simplify right side
    1,578.47x = 2,441,347.31
  5. Step 5: Solve for x
    x = 2,441,347.31/1,578.47
  6. Step 6: Final answer
    x = 1,546.66

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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.