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Finding the Fourth Proportional to 1,586.66, 2,380.28 and 661.76

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Solution

The fourth proportional to 1,586.66, 2,380.28 and 661.76 is: 992.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.66 : 2,380.28 = 661.76 : x
  2. Step 2: Convert to fraction form
    1,586.66/2,380.28 = 661.76/x
  3. Step 3: Cross multiply
    1,586.66x = 2,380.28 × 661.76
  4. Step 4: Simplify right side
    1,586.66x = 1,575,174.09
  5. Step 5: Solve for x
    x = 1,575,174.09/1,586.66
  6. Step 6: Final answer
    x = 992.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.