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Finding the Fourth Proportional to 2,036.24, 3,054.58 and 649.25

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Solution

The fourth proportional to 2,036.24, 3,054.58 and 649.25 is: 973.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.24 : 3,054.58 = 649.25 : x
  2. Step 2: Convert to fraction form
    2,036.24/3,054.58 = 649.25/x
  3. Step 3: Cross multiply
    2,036.24x = 3,054.58 × 649.25
  4. Step 4: Simplify right side
    2,036.24x = 1,983,186.07
  5. Step 5: Solve for x
    x = 1,983,186.07/2,036.24
  6. Step 6: Final answer
    x = 973.95

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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.