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Finding the Fourth Proportional to 3,198.52, 4,798.12 and 977.35

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Solution

The fourth proportional to 3,198.52, 4,798.12 and 977.35 is: 1,466.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.52 : 4,798.12 = 977.35 : x
  2. Step 2: Convert to fraction form
    3,198.52/4,798.12 = 977.35/x
  3. Step 3: Cross multiply
    3,198.52x = 4,798.12 × 977.35
  4. Step 4: Simplify right side
    3,198.52x = 4,689,442.58
  5. Step 5: Solve for x
    x = 4,689,442.58/3,198.52
  6. Step 6: Final answer
    x = 1,466.13

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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.