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Finding the Fourth Proportional to 2,068.62, 3,104.98 and 973.75

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Solution

The fourth proportional to 2,068.62, 3,104.98 and 973.75 is: 1,461.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.62 : 3,104.98 = 973.75 : x
  2. Step 2: Convert to fraction form
    2,068.62/3,104.98 = 973.75/x
  3. Step 3: Cross multiply
    2,068.62x = 3,104.98 × 973.75
  4. Step 4: Simplify right side
    2,068.62x = 3,023,474.28
  5. Step 5: Solve for x
    x = 3,023,474.28/2,068.62
  6. Step 6: Final answer
    x = 1,461.59

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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.