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Finding the Fourth Proportional to 2,122.45, 2,929.82 and 2,066.56

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Solution

The fourth proportional to 2,122.45, 2,929.82 and 2,066.56 is: 2,852.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.45 : 2,929.82 = 2,066.56 : x
  2. Step 2: Convert to fraction form
    2,122.45/2,929.82 = 2,066.56/x
  3. Step 3: Cross multiply
    2,122.45x = 2,929.82 × 2,066.56
  4. Step 4: Simplify right side
    2,122.45x = 6,054,631.16
  5. Step 5: Solve for x
    x = 6,054,631.16/2,122.45
  6. Step 6: Final answer
    x = 2,852.66

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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.