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Finding the Fourth Proportional to 2,971.60, 4,457.42 and 891.62

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Solution

The fourth proportional to 2,971.60, 4,457.42 and 891.62 is: 1,337.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.60 : 4,457.42 = 891.62 : x
  2. Step 2: Convert to fraction form
    2,971.60/4,457.42 = 891.62/x
  3. Step 3: Cross multiply
    2,971.60x = 4,457.42 × 891.62
  4. Step 4: Simplify right side
    2,971.60x = 3,974,324.82
  5. Step 5: Solve for x
    x = 3,974,324.82/2,971.60
  6. Step 6: Final answer
    x = 1,337.44

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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.