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Finding the Fourth Proportional to 2,070.54, 2,861.43 and 1,696.92

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Solution

The fourth proportional to 2,070.54, 2,861.43 and 1,696.92 is: 2,345.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.54 : 2,861.43 = 1,696.92 : x
  2. Step 2: Convert to fraction form
    2,070.54/2,861.43 = 1,696.92/x
  3. Step 3: Cross multiply
    2,070.54x = 2,861.43 × 1,696.92
  4. Step 4: Simplify right side
    2,070.54x = 4,855,617.80
  5. Step 5: Solve for x
    x = 4,855,617.80/2,070.54
  6. Step 6: Final answer
    x = 2,345.10

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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.