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Finding the Fourth Proportional to 2,946.67, 4,066.67 and 1,688.13

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Solution

The fourth proportional to 2,946.67, 4,066.67 and 1,688.13 is: 2,329.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.67 : 4,066.67 = 1,688.13 : x
  2. Step 2: Convert to fraction form
    2,946.67/4,066.67 = 1,688.13/x
  3. Step 3: Cross multiply
    2,946.67x = 4,066.67 × 1,688.13
  4. Step 4: Simplify right side
    2,946.67x = 6,865,067.63
  5. Step 5: Solve for x
    x = 6,865,067.63/2,946.67
  6. Step 6: Final answer
    x = 2,329.77

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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.