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Finding the Fourth Proportional to 2,010.85, 2,775 and 1,159.64

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Solution

The fourth proportional to 2,010.85, 2,775 and 1,159.64 is: 1,600.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.85 : 2,775 = 1,159.64 : x
  2. Step 2: Convert to fraction form
    2,010.85/2,775 = 1,159.64/x
  3. Step 3: Cross multiply
    2,010.85x = 2,775 × 1,159.64
  4. Step 4: Simplify right side
    2,010.85x = 3,218,001.00
  5. Step 5: Solve for x
    x = 3,218,001.00/2,010.85
  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.