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Finding the Fourth Proportional to 2,003.93, 2,765.13 and 1,164.71

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Solution

The fourth proportional to 2,003.93, 2,765.13 and 1,164.71 is: 1,607.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.93 : 2,765.13 = 1,164.71 : x
  2. Step 2: Convert to fraction form
    2,003.93/2,765.13 = 1,164.71/x
  3. Step 3: Cross multiply
    2,003.93x = 2,765.13 × 1,164.71
  4. Step 4: Simplify right side
    2,003.93x = 3,220,560.74
  5. Step 5: Solve for x
    x = 3,220,560.74/2,003.93
  6. Step 6: Final answer
    x = 1,607.13

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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.