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Finding the Fourth Proportional to 2,087.56, 2,880.72 and 1,156

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Solution

The fourth proportional to 2,087.56, 2,880.72 and 1,156 is: 1,595.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.56 : 2,880.72 = 1,156 : x
  2. Step 2: Convert to fraction form
    2,087.56/2,880.72 = 1,156/x
  3. Step 3: Cross multiply
    2,087.56x = 2,880.72 × 1,156
  4. Step 4: Simplify right side
    2,087.56x = 3,330,112.32
  5. Step 5: Solve for x
    x = 3,330,112.32/2,087.56
  6. Step 6: Final answer
    x = 1,595.22

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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.