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Finding the Fourth Proportional to 2,953.82, 4,072.19 and 2,113.06

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Solution

The fourth proportional to 2,953.82, 4,072.19 and 2,113.06 is: 2,913.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.82 : 4,072.19 = 2,113.06 : x
  2. Step 2: Convert to fraction form
    2,953.82/4,072.19 = 2,113.06/x
  3. Step 3: Cross multiply
    2,953.82x = 4,072.19 × 2,113.06
  4. Step 4: Simplify right side
    2,953.82x = 8,604,776.90
  5. Step 5: Solve for x
    x = 8,604,776.90/2,953.82
  6. Step 6: Final answer
    x = 2,913.10

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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.