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Finding the Fourth Proportional to 2,613.84, 3,604.02 and 2,114.94

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Solution

The fourth proportional to 2,613.84, 3,604.02 and 2,114.94 is: 2,916.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.84 : 3,604.02 = 2,114.94 : x
  2. Step 2: Convert to fraction form
    2,613.84/3,604.02 = 2,114.94/x
  3. Step 3: Cross multiply
    2,613.84x = 3,604.02 × 2,114.94
  4. Step 4: Simplify right side
    2,613.84x = 7,622,286.06
  5. Step 5: Solve for x
    x = 7,622,286.06/2,613.84
  6. Step 6: Final answer
    x = 2,916.13

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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.