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Finding the Fourth Proportional to 2,946.81, 4,066.56 and 1,687.81

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Solution

The fourth proportional to 2,946.81, 4,066.56 and 1,687.81 is: 2,329.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.81 : 4,066.56 = 1,687.81 : x
  2. Step 2: Convert to fraction form
    2,946.81/4,066.56 = 1,687.81/x
  3. Step 3: Cross multiply
    2,946.81x = 4,066.56 × 1,687.81
  4. Step 4: Simplify right side
    2,946.81x = 6,863,580.63
  5. Step 5: Solve for x
    x = 6,863,580.63/2,946.81
  6. Step 6: Final answer
    x = 2,329.16

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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.