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Finding the Fourth Proportional to 2,065.13, 3,097.08 and 603.93

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Solution

The fourth proportional to 2,065.13, 3,097.08 and 603.93 is: 905.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.13 : 3,097.08 = 603.93 : x
  2. Step 2: Convert to fraction form
    2,065.13/3,097.08 = 603.93/x
  3. Step 3: Cross multiply
    2,065.13x = 3,097.08 × 603.93
  4. Step 4: Simplify right side
    2,065.13x = 1,870,419.52
  5. Step 5: Solve for x
    x = 1,870,419.52/2,065.13
  6. Step 6: Final answer
    x = 905.72

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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.