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Finding the Fourth Proportional to 2,448.36, 3,672.54 and 1,421.80

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Solution

The fourth proportional to 2,448.36, 3,672.54 and 1,421.80 is: 2,132.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.36 : 3,672.54 = 1,421.80 : x
  2. Step 2: Convert to fraction form
    2,448.36/3,672.54 = 1,421.80/x
  3. Step 3: Cross multiply
    2,448.36x = 3,672.54 × 1,421.80
  4. Step 4: Simplify right side
    2,448.36x = 5,221,617.37
  5. Step 5: Solve for x
    x = 5,221,617.37/2,448.36
  6. Step 6: Final answer
    x = 2,132.70

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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.