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Finding the Fourth Proportional to 3,314.94, 4,573.35 and 2,070.78

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Solution

The fourth proportional to 3,314.94, 4,573.35 and 2,070.78 is: 2,856.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.94 : 4,573.35 = 2,070.78 : x
  2. Step 2: Convert to fraction form
    3,314.94/4,573.35 = 2,070.78/x
  3. Step 3: Cross multiply
    3,314.94x = 4,573.35 × 2,070.78
  4. Step 4: Simplify right side
    3,314.94x = 9,470,401.71
  5. Step 5: Solve for x
    x = 9,470,401.71/3,314.94
  6. Step 6: Final answer
    x = 2,856.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.