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Finding the Fourth Proportional to 2,036.03, 3,054.42 and 720.17

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Solution

The fourth proportional to 2,036.03, 3,054.42 and 720.17 is: 1,080.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.03 : 3,054.42 = 720.17 : x
  2. Step 2: Convert to fraction form
    2,036.03/3,054.42 = 720.17/x
  3. Step 3: Cross multiply
    2,036.03x = 3,054.42 × 720.17
  4. Step 4: Simplify right side
    2,036.03x = 2,199,686.38
  5. Step 5: Solve for x
    x = 2,199,686.38/2,036.03
  6. Step 6: Final answer
    x = 1,080.38

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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.