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Finding the Fourth Proportional to 2,062.48, 3,094.80 and 909.04

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Solution

The fourth proportional to 2,062.48, 3,094.80 and 909.04 is: 1,364.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.48 : 3,094.80 = 909.04 : x
  2. Step 2: Convert to fraction form
    2,062.48/3,094.80 = 909.04/x
  3. Step 3: Cross multiply
    2,062.48x = 3,094.80 × 909.04
  4. Step 4: Simplify right side
    2,062.48x = 2,813,296.99
  5. Step 5: Solve for x
    x = 2,813,296.99/2,062.48
  6. Step 6: Final answer
    x = 1,364.04

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