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Finding the Fourth Proportional to 2,435.48, 3,654.14 and 1,462.26

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Solution

The fourth proportional to 2,435.48, 3,654.14 and 1,462.26 is: 2,193.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.48 : 3,654.14 = 1,462.26 : x
  2. Step 2: Convert to fraction form
    2,435.48/3,654.14 = 1,462.26/x
  3. Step 3: Cross multiply
    2,435.48x = 3,654.14 × 1,462.26
  4. Step 4: Simplify right side
    2,435.48x = 5,343,302.76
  5. Step 5: Solve for x
    x = 5,343,302.76/2,435.48
  6. Step 6: Final answer
    x = 2,193.94

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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.