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Finding the Fourth Proportional to 2,113.56, 2,916.55 and 1,181.88

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Solution

The fourth proportional to 2,113.56, 2,916.55 and 1,181.88 is: 1,630.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.56 : 2,916.55 = 1,181.88 : x
  2. Step 2: Convert to fraction form
    2,113.56/2,916.55 = 1,181.88/x
  3. Step 3: Cross multiply
    2,113.56x = 2,916.55 × 1,181.88
  4. Step 4: Simplify right side
    2,113.56x = 3,447,012.11
  5. Step 5: Solve for x
    x = 3,447,012.11/2,113.56
  6. Step 6: Final answer
    x = 1,630.90

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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.