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Finding the Fourth Proportional to 2,473.03, 3,412.68 and 1,478.12

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Solution

The fourth proportional to 2,473.03, 3,412.68 and 1,478.12 is: 2,039.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.03 : 3,412.68 = 1,478.12 : x
  2. Step 2: Convert to fraction form
    2,473.03/3,412.68 = 1,478.12/x
  3. Step 3: Cross multiply
    2,473.03x = 3,412.68 × 1,478.12
  4. Step 4: Simplify right side
    2,473.03x = 5,044,365.06
  5. Step 5: Solve for x
    x = 5,044,365.06/2,473.03
  6. Step 6: Final answer
    x = 2,039.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.