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Finding the Fourth Proportional to 3,113.76, 4,297.59 and 2,049.66

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Solution

The fourth proportional to 3,113.76, 4,297.59 and 2,049.66 is: 2,828.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.76 : 4,297.59 = 2,049.66 : x
  2. Step 2: Convert to fraction form
    3,113.76/4,297.59 = 2,049.66/x
  3. Step 3: Cross multiply
    3,113.76x = 4,297.59 × 2,049.66
  4. Step 4: Simplify right side
    3,113.76x = 8,808,598.32
  5. Step 5: Solve for x
    x = 8,808,598.32/3,113.76
  6. Step 6: Final answer
    x = 2,828.93

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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.