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Finding the Fourth Proportional to 2,533.64, 3,798.82 and 1,665.32

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Solution

The fourth proportional to 2,533.64, 3,798.82 and 1,665.32 is: 2,496.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.64 : 3,798.82 = 1,665.32 : x
  2. Step 2: Convert to fraction form
    2,533.64/3,798.82 = 1,665.32/x
  3. Step 3: Cross multiply
    2,533.64x = 3,798.82 × 1,665.32
  4. Step 4: Simplify right side
    2,533.64x = 6,326,250.92
  5. Step 5: Solve for x
    x = 6,326,250.92/2,533.64
  6. Step 6: Final answer
    x = 2,496.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.