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Finding the Fourth Proportional to 3,297.96, 4,946.40 and 1,566

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Solution

The fourth proportional to 3,297.96, 4,946.40 and 1,566 is: 2,348.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.96 : 4,946.40 = 1,566 : x
  2. Step 2: Convert to fraction form
    3,297.96/4,946.40 = 1,566/x
  3. Step 3: Cross multiply
    3,297.96x = 4,946.40 × 1,566
  4. Step 4: Simplify right side
    3,297.96x = 7,746,062.40
  5. Step 5: Solve for x
    x = 7,746,062.40/3,297.96
  6. Step 6: Final answer
    x = 2,348.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.