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Finding the Fourth Proportional to 2,074.41, 3,111.70 and 687.86

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Solution

The fourth proportional to 2,074.41, 3,111.70 and 687.86 is: 1,031.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.41 : 3,111.70 = 687.86 : x
  2. Step 2: Convert to fraction form
    2,074.41/3,111.70 = 687.86/x
  3. Step 3: Cross multiply
    2,074.41x = 3,111.70 × 687.86
  4. Step 4: Simplify right side
    2,074.41x = 2,140,409.64
  5. Step 5: Solve for x
    x = 2,140,409.64/2,074.41
  6. Step 6: Final answer
    x = 1,031.82

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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.