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Finding the Fourth Proportional to 2,663.14, 3,675.15 and 1,484.29

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Solution

The fourth proportional to 2,663.14, 3,675.15 and 1,484.29 is: 2,048.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.14 : 3,675.15 = 1,484.29 : x
  2. Step 2: Convert to fraction form
    2,663.14/3,675.15 = 1,484.29/x
  3. Step 3: Cross multiply
    2,663.14x = 3,675.15 × 1,484.29
  4. Step 4: Simplify right side
    2,663.14x = 5,454,988.39
  5. Step 5: Solve for x
    x = 5,454,988.39/2,663.14
  6. Step 6: Final answer
    x = 2,048.33

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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.