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Finding the Fourth Proportional to 4,689.18, 7,033.74 and 1,768.32

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Solution

The fourth proportional to 4,689.18, 7,033.74 and 1,768.32 is: 2,652.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.18 : 7,033.74 = 1,768.32 : x
  2. Step 2: Convert to fraction form
    4,689.18/7,033.74 = 1,768.32/x
  3. Step 3: Cross multiply
    4,689.18x = 7,033.74 × 1,768.32
  4. Step 4: Simplify right side
    4,689.18x = 12,437,903.12
  5. Step 5: Solve for x
    x = 12,437,903.12/4,689.18
  6. Step 6: Final answer
    x = 2,652.47

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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.