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Finding the Fourth Proportional to 1,683.77, 2,521.14 and 1,586.72

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Solution

The fourth proportional to 1,683.77, 2,521.14 and 1,586.72 is: 2,375.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.77 : 2,521.14 = 1,586.72 : x
  2. Step 2: Convert to fraction form
    1,683.77/2,521.14 = 1,586.72/x
  3. Step 3: Cross multiply
    1,683.77x = 2,521.14 × 1,586.72
  4. Step 4: Simplify right side
    1,683.77x = 4,000,330.66
  5. Step 5: Solve for x
    x = 4,000,330.66/1,683.77
  6. Step 6: Final answer
    x = 2,375.82

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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.