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Finding the Fourth Proportional to 2,476.82, 3,698.25 and 2,111.42

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Solution

The fourth proportional to 2,476.82, 3,698.25 and 2,111.42 is: 3,152.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.82 : 3,698.25 = 2,111.42 : x
  2. Step 2: Convert to fraction form
    2,476.82/3,698.25 = 2,111.42/x
  3. Step 3: Cross multiply
    2,476.82x = 3,698.25 × 2,111.42
  4. Step 4: Simplify right side
    2,476.82x = 7,808,559.02
  5. Step 5: Solve for x
    x = 7,808,559.02/2,476.82
  6. Step 6: Final answer
    x = 3,152.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.