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Finding the Fourth Proportional to 2,297.66, 3,444.55 and 1,047.81

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Solution

The fourth proportional to 2,297.66, 3,444.55 and 1,047.81 is: 1,570.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.66 : 3,444.55 = 1,047.81 : x
  2. Step 2: Convert to fraction form
    2,297.66/3,444.55 = 1,047.81/x
  3. Step 3: Cross multiply
    2,297.66x = 3,444.55 × 1,047.81
  4. Step 4: Simplify right side
    2,297.66x = 3,609,232.23
  5. Step 5: Solve for x
    x = 3,609,232.23/2,297.66
  6. Step 6: Final answer
    x = 1,570.83

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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.