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Finding the Fourth Proportional to 2,024.08, 3,036.12 and 928.80

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Solution

The fourth proportional to 2,024.08, 3,036.12 and 928.80 is: 1,393.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.08 : 3,036.12 = 928.80 : x
  2. Step 2: Convert to fraction form
    2,024.08/3,036.12 = 928.80/x
  3. Step 3: Cross multiply
    2,024.08x = 3,036.12 × 928.80
  4. Step 4: Simplify right side
    2,024.08x = 2,819,948.26
  5. Step 5: Solve for x
    x = 2,819,948.26/2,024.08
  6. Step 6: Final answer
    x = 1,393.20

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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.