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Finding the Fourth Proportional to 2,298.54, 3,448.35 and 1,421.31

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Solution

The fourth proportional to 2,298.54, 3,448.35 and 1,421.31 is: 2,132.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.54 : 3,448.35 = 1,421.31 : x
  2. Step 2: Convert to fraction form
    2,298.54/3,448.35 = 1,421.31/x
  3. Step 3: Cross multiply
    2,298.54x = 3,448.35 × 1,421.31
  4. Step 4: Simplify right side
    2,298.54x = 4,901,174.34
  5. Step 5: Solve for x
    x = 4,901,174.34/2,298.54
  6. Step 6: Final answer
    x = 2,132.30

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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.