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Finding the Fourth Proportional to 3,442.18, 5,163.48 and 977.19

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Solution

The fourth proportional to 3,442.18, 5,163.48 and 977.19 is: 1,465.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.18 : 5,163.48 = 977.19 : x
  2. Step 2: Convert to fraction form
    3,442.18/5,163.48 = 977.19/x
  3. Step 3: Cross multiply
    3,442.18x = 5,163.48 × 977.19
  4. Step 4: Simplify right side
    3,442.18x = 5,045,701.02
  5. Step 5: Solve for x
    x = 5,045,701.02/3,442.18
  6. Step 6: Final answer
    x = 1,465.85

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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.