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Finding the Fourth Proportional to 2,819.16, 4,228.20 and 971.46

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Solution

The fourth proportional to 2,819.16, 4,228.20 and 971.46 is: 1,457.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.16 : 4,228.20 = 971.46 : x
  2. Step 2: Convert to fraction form
    2,819.16/4,228.20 = 971.46/x
  3. Step 3: Cross multiply
    2,819.16x = 4,228.20 × 971.46
  4. Step 4: Simplify right side
    2,819.16x = 4,107,527.17
  5. Step 5: Solve for x
    x = 4,107,527.17/2,819.16
  6. Step 6: Final answer
    x = 1,457.00

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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.