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Finding the Fourth Proportional to 2,697.35, 4,046.02 and 848.62

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Solution

The fourth proportional to 2,697.35, 4,046.02 and 848.62 is: 1,272.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.35 : 4,046.02 = 848.62 : x
  2. Step 2: Convert to fraction form
    2,697.35/4,046.02 = 848.62/x
  3. Step 3: Cross multiply
    2,697.35x = 4,046.02 × 848.62
  4. Step 4: Simplify right side
    2,697.35x = 3,433,533.49
  5. Step 5: Solve for x
    x = 3,433,533.49/2,697.35
  6. Step 6: Final answer
    x = 1,272.93

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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.