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Finding the Fourth Proportional to 3,342.84, 4,612.95 and 1,926.75

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Solution

The fourth proportional to 3,342.84, 4,612.95 and 1,926.75 is: 2,658.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,342.84 : 4,612.95 = 1,926.75 : x
  2. Step 2: Convert to fraction form
    3,342.84/4,612.95 = 1,926.75/x
  3. Step 3: Cross multiply
    3,342.84x = 4,612.95 × 1,926.75
  4. Step 4: Simplify right side
    3,342.84x = 8,888,001.41
  5. Step 5: Solve for x
    x = 8,888,001.41/3,342.84
  6. Step 6: Final answer
    x = 2,658.82

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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.