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Finding the Fourth Proportional to 2,697.84, 3,715.56 and 2,522.16

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Solution

The fourth proportional to 2,697.84, 3,715.56 and 2,522.16 is: 3,473.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.84 : 3,715.56 = 2,522.16 : x
  2. Step 2: Convert to fraction form
    2,697.84/3,715.56 = 2,522.16/x
  3. Step 3: Cross multiply
    2,697.84x = 3,715.56 × 2,522.16
  4. Step 4: Simplify right side
    2,697.84x = 9,371,236.81
  5. Step 5: Solve for x
    x = 9,371,236.81/2,697.84
  6. Step 6: Final answer
    x = 3,473.61

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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.