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Finding the Fourth Proportional to 2,043.90, 2,820.90 and 1,159.52

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Solution

The fourth proportional to 2,043.90, 2,820.90 and 1,159.52 is: 1,600.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.90 : 2,820.90 = 1,159.52 : x
  2. Step 2: Convert to fraction form
    2,043.90/2,820.90 = 1,159.52/x
  3. Step 3: Cross multiply
    2,043.90x = 2,820.90 × 1,159.52
  4. Step 4: Simplify right side
    2,043.90x = 3,270,889.97
  5. Step 5: Solve for x
    x = 3,270,889.97/2,043.90
  6. Step 6: Final answer
    x = 1,600.32

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1.5x scale

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.