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Finding the Fourth Proportional to 4,641.39, 6,962.07 and 1,178.64

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Solution

The fourth proportional to 4,641.39, 6,962.07 and 1,178.64 is: 1,767.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.39 : 6,962.07 = 1,178.64 : x
  2. Step 2: Convert to fraction form
    4,641.39/6,962.07 = 1,178.64/x
  3. Step 3: Cross multiply
    4,641.39x = 6,962.07 × 1,178.64
  4. Step 4: Simplify right side
    4,641.39x = 8,205,774.18
  5. Step 5: Solve for x
    x = 8,205,774.18/4,641.39
  6. Step 6: Final answer
    x = 1,767.96

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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.