Home / 1,542.43-2,314.65-1,130.31

Finding the Fourth Proportional to 1,542.43, 2,314.65 and 1,130.31

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Solution

The fourth proportional to 1,542.43, 2,314.65 and 1,130.31 is: 1,696.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.43 : 2,314.65 = 1,130.31 : x
  2. Step 2: Convert to fraction form
    1,542.43/2,314.65 = 1,130.31/x
  3. Step 3: Cross multiply
    1,542.43x = 2,314.65 × 1,130.31
  4. Step 4: Simplify right side
    1,542.43x = 2,616,272.04
  5. Step 5: Solve for x
    x = 2,616,272.04/1,542.43
  6. Step 6: Final answer
    x = 1,696.20

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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.