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Finding the Fourth Proportional to 2,303.74, 3,138.67 and 2,252.98

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Solution

The fourth proportional to 2,303.74, 3,138.67 and 2,252.98 is: 3,069.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.74 : 3,138.67 = 2,252.98 : x
  2. Step 2: Convert to fraction form
    2,303.74/3,138.67 = 2,252.98/x
  3. Step 3: Cross multiply
    2,303.74x = 3,138.67 × 2,252.98
  4. Step 4: Simplify right side
    2,303.74x = 7,071,360.74
  5. Step 5: Solve for x
    x = 7,071,360.74/2,303.74
  6. Step 6: Final answer
    x = 3,069.51

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.