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Finding the Fourth Proportional to 2,062.85, 3,094.79 and 602.02

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Solution

The fourth proportional to 2,062.85, 3,094.79 and 602.02 is: 903.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.85 : 3,094.79 = 602.02 : x
  2. Step 2: Convert to fraction form
    2,062.85/3,094.79 = 602.02/x
  3. Step 3: Cross multiply
    2,062.85x = 3,094.79 × 602.02
  4. Step 4: Simplify right side
    2,062.85x = 1,863,125.48
  5. Step 5: Solve for x
    x = 1,863,125.48/2,062.85
  6. Step 6: Final answer
    x = 903.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.