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Finding the Fourth Proportional to 2,113.47, 2,916.60 and 1,181.97

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Solution

The fourth proportional to 2,113.47, 2,916.60 and 1,181.97 is: 1,631.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.47 : 2,916.60 = 1,181.97 : x
  2. Step 2: Convert to fraction form
    2,113.47/2,916.60 = 1,181.97/x
  3. Step 3: Cross multiply
    2,113.47x = 2,916.60 × 1,181.97
  4. Step 4: Simplify right side
    2,113.47x = 3,447,333.70
  5. Step 5: Solve for x
    x = 3,447,333.70/2,113.47
  6. Step 6: Final answer
    x = 1,631.12

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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.