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Finding the Fourth Proportional to 3,160.20, 4,741.32 and 969.36

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Solution

The fourth proportional to 3,160.20, 4,741.32 and 969.36 is: 1,454.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.20 : 4,741.32 = 969.36 : x
  2. Step 2: Convert to fraction form
    3,160.20/4,741.32 = 969.36/x
  3. Step 3: Cross multiply
    3,160.20x = 4,741.32 × 969.36
  4. Step 4: Simplify right side
    3,160.20x = 4,596,045.96
  5. Step 5: Solve for x
    x = 4,596,045.96/3,160.20
  6. Step 6: Final answer
    x = 1,454.35

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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.