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Finding the Fourth Proportional to 2,070.78, 2,856.98 and 1,174.42

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Solution

The fourth proportional to 2,070.78, 2,856.98 and 1,174.42 is: 1,620.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.78 : 2,856.98 = 1,174.42 : x
  2. Step 2: Convert to fraction form
    2,070.78/2,856.98 = 1,174.42/x
  3. Step 3: Cross multiply
    2,070.78x = 2,856.98 × 1,174.42
  4. Step 4: Simplify right side
    2,070.78x = 3,355,288.58
  5. Step 5: Solve for x
    x = 3,355,288.58/2,070.78
  6. Step 6: Final answer
    x = 1,620.30

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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.