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Finding the Fourth Proportional to 1,586.76, 2,190.74 and 1,089.24

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Solution

The fourth proportional to 1,586.76, 2,190.74 and 1,089.24 is: 1,503.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.76 : 2,190.74 = 1,089.24 : x
  2. Step 2: Convert to fraction form
    1,586.76/2,190.74 = 1,089.24/x
  3. Step 3: Cross multiply
    1,586.76x = 2,190.74 × 1,089.24
  4. Step 4: Simplify right side
    1,586.76x = 2,386,241.64
  5. Step 5: Solve for x
    x = 2,386,241.64/1,586.76
  6. Step 6: Final answer
    x = 1,503.85

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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.