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Finding the Fourth Proportional to 2,086.95, 2,880.41 and 1,588.70

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Solution

The fourth proportional to 2,086.95, 2,880.41 and 1,588.70 is: 2,192.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.95 : 2,880.41 = 1,588.70 : x
  2. Step 2: Convert to fraction form
    2,086.95/2,880.41 = 1,588.70/x
  3. Step 3: Cross multiply
    2,086.95x = 2,880.41 × 1,588.70
  4. Step 4: Simplify right side
    2,086.95x = 4,576,085.02
  5. Step 5: Solve for x
    x = 4,576,085.02/2,086.95
  6. Step 6: Final answer
    x = 2,192.71

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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.