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Finding the Fourth Proportional to 3,005.81, 4,510.32 and 1,252.02

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Solution

The fourth proportional to 3,005.81, 4,510.32 and 1,252.02 is: 1,878.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.81 : 4,510.32 = 1,252.02 : x
  2. Step 2: Convert to fraction form
    3,005.81/4,510.32 = 1,252.02/x
  3. Step 3: Cross multiply
    3,005.81x = 4,510.32 × 1,252.02
  4. Step 4: Simplify right side
    3,005.81x = 5,646,988.29
  5. Step 5: Solve for x
    x = 5,646,988.29/3,005.81
  6. Step 6: Final answer
    x = 1,878.69

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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.