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Finding the Fourth Proportional to 2,064.02, 3,096.58 and 747.92

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Solution

The fourth proportional to 2,064.02, 3,096.58 and 747.92 is: 1,122.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.02 : 3,096.58 = 747.92 : x
  2. Step 2: Convert to fraction form
    2,064.02/3,096.58 = 747.92/x
  3. Step 3: Cross multiply
    2,064.02x = 3,096.58 × 747.92
  4. Step 4: Simplify right side
    2,064.02x = 2,315,994.11
  5. Step 5: Solve for x
    x = 2,315,994.11/2,064.02
  6. Step 6: Final answer
    x = 1,122.08

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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.