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Finding the Fourth Proportional to 2,552.84, 3,522.88 and 1,490.84

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Solution

The fourth proportional to 2,552.84, 3,522.88 and 1,490.84 is: 2,057.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.84 : 3,522.88 = 1,490.84 : x
  2. Step 2: Convert to fraction form
    2,552.84/3,522.88 = 1,490.84/x
  3. Step 3: Cross multiply
    2,552.84x = 3,522.88 × 1,490.84
  4. Step 4: Simplify right side
    2,552.84x = 5,252,050.42
  5. Step 5: Solve for x
    x = 5,252,050.42/2,552.84
  6. Step 6: Final answer
    x = 2,057.34

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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.