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Finding the Fourth Proportional to 2,062.90, 3,094.45 and 602.16

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Solution

The fourth proportional to 2,062.90, 3,094.45 and 602.16 is: 903.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.90 : 3,094.45 = 602.16 : x
  2. Step 2: Convert to fraction form
    2,062.90/3,094.45 = 602.16/x
  3. Step 3: Cross multiply
    2,062.90x = 3,094.45 × 602.16
  4. Step 4: Simplify right side
    2,062.90x = 1,863,354.01
  5. Step 5: Solve for x
    x = 1,863,354.01/2,062.90
  6. Step 6: Final answer
    x = 903.27

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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.