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Finding the Fourth Proportional to 2,433.52, 3,647.84 and 1,047.44

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Solution

The fourth proportional to 2,433.52, 3,647.84 and 1,047.44 is: 1,570.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.52 : 3,647.84 = 1,047.44 : x
  2. Step 2: Convert to fraction form
    2,433.52/3,647.84 = 1,047.44/x
  3. Step 3: Cross multiply
    2,433.52x = 3,647.84 × 1,047.44
  4. Step 4: Simplify right side
    2,433.52x = 3,820,893.53
  5. Step 5: Solve for x
    x = 3,820,893.53/2,433.52
  6. Step 6: Final answer
    x = 1,570.11

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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.