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Finding the Fourth Proportional to 3,146.57, 4,343.05 and 1,821.07

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Solution

The fourth proportional to 3,146.57, 4,343.05 and 1,821.07 is: 2,513.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.57 : 4,343.05 = 1,821.07 : x
  2. Step 2: Convert to fraction form
    3,146.57/4,343.05 = 1,821.07/x
  3. Step 3: Cross multiply
    3,146.57x = 4,343.05 × 1,821.07
  4. Step 4: Simplify right side
    3,146.57x = 7,908,998.06
  5. Step 5: Solve for x
    x = 7,908,998.06/3,146.57
  6. Step 6: Final answer
    x = 2,513.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.