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Finding the Fourth Proportional to 2,533.77, 3,781.91 and 2,353.50

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Solution

The fourth proportional to 2,533.77, 3,781.91 and 2,353.50 is: 3,512.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.77 : 3,781.91 = 2,353.50 : x
  2. Step 2: Convert to fraction form
    2,533.77/3,781.91 = 2,353.50/x
  3. Step 3: Cross multiply
    2,533.77x = 3,781.91 × 2,353.50
  4. Step 4: Simplify right side
    2,533.77x = 8,900,731.07
  5. Step 5: Solve for x
    x = 8,900,731.07/2,533.77
  6. Step 6: Final answer
    x = 3,512.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.