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Finding the Fourth Proportional to 2,448.48, 3,674.52 and 987.72

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Solution

The fourth proportional to 2,448.48, 3,674.52 and 987.72 is: 1,482.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.48 : 3,674.52 = 987.72 : x
  2. Step 2: Convert to fraction form
    2,448.48/3,674.52 = 987.72/x
  3. Step 3: Cross multiply
    2,448.48x = 3,674.52 × 987.72
  4. Step 4: Simplify right side
    2,448.48x = 3,629,396.89
  5. Step 5: Solve for x
    x = 3,629,396.89/2,448.48
  6. Step 6: Final answer
    x = 1,482.31

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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.