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Finding the Fourth Proportional to 1,586.28, 2,189.08 and 887.70

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Solution

The fourth proportional to 1,586.28, 2,189.08 and 887.70 is: 1,225.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.28 : 2,189.08 = 887.70 : x
  2. Step 2: Convert to fraction form
    1,586.28/2,189.08 = 887.70/x
  3. Step 3: Cross multiply
    1,586.28x = 2,189.08 × 887.70
  4. Step 4: Simplify right side
    1,586.28x = 1,943,246.32
  5. Step 5: Solve for x
    x = 1,943,246.32/1,586.28
  6. Step 6: Final answer
    x = 1,225.03

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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.