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Finding the Fourth Proportional to 2,948, 4,062.14 and 2,108.02

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Solution

The fourth proportional to 2,948, 4,062.14 and 2,108.02 is: 2,904.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948 : 4,062.14 = 2,108.02 : x
  2. Step 2: Convert to fraction form
    2,948/4,062.14 = 2,108.02/x
  3. Step 3: Cross multiply
    2,948x = 4,062.14 × 2,108.02
  4. Step 4: Simplify right side
    2,948x = 8,563,072.36
  5. Step 5: Solve for x
    x = 8,563,072.36/2,948
  6. Step 6: Final answer
    x = 2,904.71

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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.