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Finding the Fourth Proportional to 2,087.76, 2,880.81 and 1,156.26

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Solution

The fourth proportional to 2,087.76, 2,880.81 and 1,156.26 is: 1,595.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.76 : 2,880.81 = 1,156.26 : x
  2. Step 2: Convert to fraction form
    2,087.76/2,880.81 = 1,156.26/x
  3. Step 3: Cross multiply
    2,087.76x = 2,880.81 × 1,156.26
  4. Step 4: Simplify right side
    2,087.76x = 3,330,965.37
  5. Step 5: Solve for x
    x = 3,330,965.37/2,087.76
  6. Step 6: Final answer
    x = 1,595.47

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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.