Home / 1,822.41-2,514.54-1,159.02

Finding the Fourth Proportional to 1,822.41, 2,514.54 and 1,159.02

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Solution

The fourth proportional to 1,822.41, 2,514.54 and 1,159.02 is: 1,599.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.41 : 2,514.54 = 1,159.02 : x
  2. Step 2: Convert to fraction form
    1,822.41/2,514.54 = 1,159.02/x
  3. Step 3: Cross multiply
    1,822.41x = 2,514.54 × 1,159.02
  4. Step 4: Simplify right side
    1,822.41x = 2,914,402.15
  5. Step 5: Solve for x
    x = 2,914,402.15/1,822.41
  6. Step 6: Final answer
    x = 1,599.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.