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Finding the Fourth Proportional to 2,424.56, 3,637.10 and 780.72

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Solution

The fourth proportional to 2,424.56, 3,637.10 and 780.72 is: 1,171.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.56 : 3,637.10 = 780.72 : x
  2. Step 2: Convert to fraction form
    2,424.56/3,637.10 = 780.72/x
  3. Step 3: Cross multiply
    2,424.56x = 3,637.10 × 780.72
  4. Step 4: Simplify right side
    2,424.56x = 2,839,556.71
  5. Step 5: Solve for x
    x = 2,839,556.71/2,424.56
  6. Step 6: Final answer
    x = 1,171.16

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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.