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Finding the Fourth Proportional to 2,553.74, 3,523.74 and 1,506.01

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Solution

The fourth proportional to 2,553.74, 3,523.74 and 1,506.01 is: 2,078.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.74 : 3,523.74 = 1,506.01 : x
  2. Step 2: Convert to fraction form
    2,553.74/3,523.74 = 1,506.01/x
  3. Step 3: Cross multiply
    2,553.74x = 3,523.74 × 1,506.01
  4. Step 4: Simplify right side
    2,553.74x = 5,306,787.68
  5. Step 5: Solve for x
    x = 5,306,787.68/2,553.74
  6. Step 6: Final answer
    x = 2,078.05

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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.