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Finding the Fourth Proportional to 3,005.53, 4,507.62 and 1,155.97

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Solution

The fourth proportional to 3,005.53, 4,507.62 and 1,155.97 is: 1,733.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.53 : 4,507.62 = 1,155.97 : x
  2. Step 2: Convert to fraction form
    3,005.53/4,507.62 = 1,155.97/x
  3. Step 3: Cross multiply
    3,005.53x = 4,507.62 × 1,155.97
  4. Step 4: Simplify right side
    3,005.53x = 5,210,673.49
  5. Step 5: Solve for x
    x = 5,210,673.49/3,005.53
  6. Step 6: Final answer
    x = 1,733.70

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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.