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Finding the Fourth Proportional to 2,318.77, 3,478.05 and 675.28

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Solution

The fourth proportional to 2,318.77, 3,478.05 and 675.28 is: 1,012.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.77 : 3,478.05 = 675.28 : x
  2. Step 2: Convert to fraction form
    2,318.77/3,478.05 = 675.28/x
  3. Step 3: Cross multiply
    2,318.77x = 3,478.05 × 675.28
  4. Step 4: Simplify right side
    2,318.77x = 2,348,657.60
  5. Step 5: Solve for x
    x = 2,348,657.60/2,318.77
  6. Step 6: Final answer
    x = 1,012.89

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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.