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Finding the Fourth Proportional to 2,689.94, 4,033.18 and 1,045.13

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Solution

The fourth proportional to 2,689.94, 4,033.18 and 1,045.13 is: 1,567.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.94 : 4,033.18 = 1,045.13 : x
  2. Step 2: Convert to fraction form
    2,689.94/4,033.18 = 1,045.13/x
  3. Step 3: Cross multiply
    2,689.94x = 4,033.18 × 1,045.13
  4. Step 4: Simplify right side
    2,689.94x = 4,215,197.41
  5. Step 5: Solve for x
    x = 4,215,197.41/2,689.94
  6. Step 6: Final answer
    x = 1,567.03

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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.