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Finding the Fourth Proportional to 2,617.46, 3,926.31 and 973.62

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Solution

The fourth proportional to 2,617.46, 3,926.31 and 973.62 is: 1,460.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.46 : 3,926.31 = 973.62 : x
  2. Step 2: Convert to fraction form
    2,617.46/3,926.31 = 973.62/x
  3. Step 3: Cross multiply
    2,617.46x = 3,926.31 × 973.62
  4. Step 4: Simplify right side
    2,617.46x = 3,822,733.94
  5. Step 5: Solve for x
    x = 3,822,733.94/2,617.46
  6. Step 6: Final answer
    x = 1,460.47

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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.