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Finding the Fourth Proportional to 2,522.61, 3,483 and 1,936.98

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Solution

The fourth proportional to 2,522.61, 3,483 and 1,936.98 is: 2,674.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.61 : 3,483 = 1,936.98 : x
  2. Step 2: Convert to fraction form
    2,522.61/3,483 = 1,936.98/x
  3. Step 3: Cross multiply
    2,522.61x = 3,483 × 1,936.98
  4. Step 4: Simplify right side
    2,522.61x = 6,746,501.34
  5. Step 5: Solve for x
    x = 6,746,501.34/2,522.61
  6. Step 6: Final answer
    x = 2,674.41

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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.