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Finding the Fourth Proportional to 2,036.07, 3,054.15 and 575.17

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Solution

The fourth proportional to 2,036.07, 3,054.15 and 575.17 is: 862.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.07 : 3,054.15 = 575.17 : x
  2. Step 2: Convert to fraction form
    2,036.07/3,054.15 = 575.17/x
  3. Step 3: Cross multiply
    2,036.07x = 3,054.15 × 575.17
  4. Step 4: Simplify right side
    2,036.07x = 1,756,647.82
  5. Step 5: Solve for x
    x = 1,756,647.82/2,036.07
  6. Step 6: Final answer
    x = 862.76

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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.