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Finding the Fourth Proportional to 2,297.66, 3,441.02 and 1,256.10

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Solution

The fourth proportional to 2,297.66, 3,441.02 and 1,256.10 is: 1,881.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.66 : 3,441.02 = 1,256.10 : x
  2. Step 2: Convert to fraction form
    2,297.66/3,441.02 = 1,256.10/x
  3. Step 3: Cross multiply
    2,297.66x = 3,441.02 × 1,256.10
  4. Step 4: Simplify right side
    2,297.66x = 4,322,265.22
  5. Step 5: Solve for x
    x = 4,322,265.22/2,297.66
  6. Step 6: Final answer
    x = 1,881.16

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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.