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Finding the Fourth Proportional to 2,257.74, 3,113.64 and 1,864.08

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Solution

The fourth proportional to 2,257.74, 3,113.64 and 1,864.08 is: 2,570.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.74 : 3,113.64 = 1,864.08 : x
  2. Step 2: Convert to fraction form
    2,257.74/3,113.64 = 1,864.08/x
  3. Step 3: Cross multiply
    2,257.74x = 3,113.64 × 1,864.08
  4. Step 4: Simplify right side
    2,257.74x = 5,804,074.05
  5. Step 5: Solve for x
    x = 5,804,074.05/2,257.74
  6. Step 6: Final answer
    x = 2,570.75

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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.