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Finding the Fourth Proportional to 3,113.64, 4,297.86 and 2,065.50

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Solution

The fourth proportional to 3,113.64, 4,297.86 and 2,065.50 is: 2,851.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.64 : 4,297.86 = 2,065.50 : x
  2. Step 2: Convert to fraction form
    3,113.64/4,297.86 = 2,065.50/x
  3. Step 3: Cross multiply
    3,113.64x = 4,297.86 × 2,065.50
  4. Step 4: Simplify right side
    3,113.64x = 8,877,229.83
  5. Step 5: Solve for x
    x = 8,877,229.83/3,113.64
  6. Step 6: Final answer
    x = 2,851.08

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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.