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Finding the Fourth Proportional to 3,434.79, 4,740.13 and 1,942.95

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Solution

The fourth proportional to 3,434.79, 4,740.13 and 1,942.95 is: 2,681.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.79 : 4,740.13 = 1,942.95 : x
  2. Step 2: Convert to fraction form
    3,434.79/4,740.13 = 1,942.95/x
  3. Step 3: Cross multiply
    3,434.79x = 4,740.13 × 1,942.95
  4. Step 4: Simplify right side
    3,434.79x = 9,209,835.58
  5. Step 5: Solve for x
    x = 9,209,835.58/3,434.79
  6. Step 6: Final answer
    x = 2,681.34

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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.