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Finding the Fourth Proportional to 2,036.64, 3,054.58 and 575.78

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Solution

The fourth proportional to 2,036.64, 3,054.58 and 575.78 is: 863.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.64 : 3,054.58 = 575.78 : x
  2. Step 2: Convert to fraction form
    2,036.64/3,054.58 = 575.78/x
  3. Step 3: Cross multiply
    2,036.64x = 3,054.58 × 575.78
  4. Step 4: Simplify right side
    2,036.64x = 1,758,772.27
  5. Step 5: Solve for x
    x = 1,758,772.27/2,036.64
  6. Step 6: Final answer
    x = 863.57

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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.