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Finding the Fourth Proportional to 2,582.24, 3,870.86 and 937.67

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Solution

The fourth proportional to 2,582.24, 3,870.86 and 937.67 is: 1,405.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.24 : 3,870.86 = 937.67 : x
  2. Step 2: Convert to fraction form
    2,582.24/3,870.86 = 937.67/x
  3. Step 3: Cross multiply
    2,582.24x = 3,870.86 × 937.67
  4. Step 4: Simplify right side
    2,582.24x = 3,629,565.25
  5. Step 5: Solve for x
    x = 3,629,565.25/2,582.24
  6. Step 6: Final answer
    x = 1,405.59

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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.