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Finding the Fourth Proportional to 2,416.70, 3,337.67 and 1,946.16

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Solution

The fourth proportional to 2,416.70, 3,337.67 and 1,946.16 is: 2,687.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.70 : 3,337.67 = 1,946.16 : x
  2. Step 2: Convert to fraction form
    2,416.70/3,337.67 = 1,946.16/x
  3. Step 3: Cross multiply
    2,416.70x = 3,337.67 × 1,946.16
  4. Step 4: Simplify right side
    2,416.70x = 6,495,644.71
  5. Step 5: Solve for x
    x = 6,495,644.71/2,416.70
  6. Step 6: Final answer
    x = 2,687.81

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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.