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Finding the Fourth Proportional to 2,424.03, 3,637.16 and 758.40

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Solution

The fourth proportional to 2,424.03, 3,637.16 and 758.40 is: 1,137.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.03 : 3,637.16 = 758.40 : x
  2. Step 2: Convert to fraction form
    2,424.03/3,637.16 = 758.40/x
  3. Step 3: Cross multiply
    2,424.03x = 3,637.16 × 758.40
  4. Step 4: Simplify right side
    2,424.03x = 2,758,422.14
  5. Step 5: Solve for x
    x = 2,758,422.14/2,424.03
  6. Step 6: Final answer
    x = 1,137.95

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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.