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Finding the Fourth Proportional to 2,304.67, 3,459.08 and 1,562.48

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Solution

The fourth proportional to 2,304.67, 3,459.08 and 1,562.48 is: 2,345.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.67 : 3,459.08 = 1,562.48 : x
  2. Step 2: Convert to fraction form
    2,304.67/3,459.08 = 1,562.48/x
  3. Step 3: Cross multiply
    2,304.67x = 3,459.08 × 1,562.48
  4. Step 4: Simplify right side
    2,304.67x = 5,404,735.51
  5. Step 5: Solve for x
    x = 5,404,735.51/2,304.67
  6. Step 6: Final answer
    x = 2,345.13

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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.