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Finding the Fourth Proportional to 2,036.07, 3,054.65 and 649.35

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Solution

The fourth proportional to 2,036.07, 3,054.65 and 649.35 is: 974.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.07 : 3,054.65 = 649.35 : x
  2. Step 2: Convert to fraction form
    2,036.07/3,054.65 = 649.35/x
  3. Step 3: Cross multiply
    2,036.07x = 3,054.65 × 649.35
  4. Step 4: Simplify right side
    2,036.07x = 1,983,533.73
  5. Step 5: Solve for x
    x = 1,983,533.73/2,036.07
  6. Step 6: Final answer
    x = 974.20

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