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Finding the Fourth Proportional to 2,946.16, 4,056.24 and 2,353.24

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Solution

The fourth proportional to 2,946.16, 4,056.24 and 2,353.24 is: 3,239.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.16 : 4,056.24 = 2,353.24 : x
  2. Step 2: Convert to fraction form
    2,946.16/4,056.24 = 2,353.24/x
  3. Step 3: Cross multiply
    2,946.16x = 4,056.24 × 2,353.24
  4. Step 4: Simplify right side
    2,946.16x = 9,545,306.22
  5. Step 5: Solve for x
    x = 9,545,306.22/2,946.16
  6. Step 6: Final answer
    x = 3,239.91

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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.