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Finding the Fourth Proportional to 2,298.85, 3,448.07 and 1,421.48

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Solution

The fourth proportional to 2,298.85, 3,448.07 and 1,421.48 is: 2,132.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.85 : 3,448.07 = 1,421.48 : x
  2. Step 2: Convert to fraction form
    2,298.85/3,448.07 = 1,421.48/x
  3. Step 3: Cross multiply
    2,298.85x = 3,448.07 × 1,421.48
  4. Step 4: Simplify right side
    2,298.85x = 4,901,355.44
  5. Step 5: Solve for x
    x = 4,901,355.44/2,298.85
  6. Step 6: Final answer
    x = 2,132.09

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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.