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Finding the Fourth Proportional to 2,821.17, 4,232.13 and 971.79

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Solution

The fourth proportional to 2,821.17, 4,232.13 and 971.79 is: 1,457.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.17 : 4,232.13 = 971.79 : x
  2. Step 2: Convert to fraction form
    2,821.17/4,232.13 = 971.79/x
  3. Step 3: Cross multiply
    2,821.17x = 4,232.13 × 971.79
  4. Step 4: Simplify right side
    2,821.17x = 4,112,746.34
  5. Step 5: Solve for x
    x = 4,112,746.34/2,821.17
  6. Step 6: Final answer
    x = 1,457.81

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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.