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Finding the Fourth Proportional to 2,113.46, 2,916.52 and 1,169.34

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Solution

The fourth proportional to 2,113.46, 2,916.52 and 1,169.34 is: 1,613.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.46 : 2,916.52 = 1,169.34 : x
  2. Step 2: Convert to fraction form
    2,113.46/2,916.52 = 1,169.34/x
  3. Step 3: Cross multiply
    2,113.46x = 2,916.52 × 1,169.34
  4. Step 4: Simplify right side
    2,113.46x = 3,410,403.50
  5. Step 5: Solve for x
    x = 3,410,403.50/2,113.46
  6. Step 6: Final answer
    x = 1,613.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.