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Finding the Fourth Proportional to 2,946.02, 4,061.72 and 2,412.93

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Solution

The fourth proportional to 2,946.02, 4,061.72 and 2,412.93 is: 3,326.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.02 : 4,061.72 = 2,412.93 : x
  2. Step 2: Convert to fraction form
    2,946.02/4,061.72 = 2,412.93/x
  3. Step 3: Cross multiply
    2,946.02x = 4,061.72 × 2,412.93
  4. Step 4: Simplify right side
    2,946.02x = 9,800,667.30
  5. Step 5: Solve for x
    x = 9,800,667.30/2,946.02
  6. Step 6: Final answer
    x = 3,326.75

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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.