Home / 2,043.40-2,820.10-1,159.24

Finding the Fourth Proportional to 2,043.40, 2,820.10 and 1,159.24

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Solution

The fourth proportional to 2,043.40, 2,820.10 and 1,159.24 is: 1,599.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.40 : 2,820.10 = 1,159.24 : x
  2. Step 2: Convert to fraction form
    2,043.40/2,820.10 = 1,159.24/x
  3. Step 3: Cross multiply
    2,043.40x = 2,820.10 × 1,159.24
  4. Step 4: Simplify right side
    2,043.40x = 3,269,172.72
  5. Step 5: Solve for x
    x = 3,269,172.72/2,043.40
  6. Step 6: Final answer
    x = 1,599.87

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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.