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Finding the Fourth Proportional to 2,344.44, 3,237 and 1,461

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Solution

The fourth proportional to 2,344.44, 3,237 and 1,461 is: 2,017.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.44 : 3,237 = 1,461 : x
  2. Step 2: Convert to fraction form
    2,344.44/3,237 = 1,461/x
  3. Step 3: Cross multiply
    2,344.44x = 3,237 × 1,461
  4. Step 4: Simplify right side
    2,344.44x = 4,729,257
  5. Step 5: Solve for x
    x = 4,729,257/2,344.44
  6. Step 6: Final answer
    x = 2,017.22

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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.