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Finding the Fourth Proportional to 2,070.12, 2,856.54 and 1,138.44

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Solution

The fourth proportional to 2,070.12, 2,856.54 and 1,138.44 is: 1,570.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.12 : 2,856.54 = 1,138.44 : x
  2. Step 2: Convert to fraction form
    2,070.12/2,856.54 = 1,138.44/x
  3. Step 3: Cross multiply
    2,070.12x = 2,856.54 × 1,138.44
  4. Step 4: Simplify right side
    2,070.12x = 3,251,999.40
  5. Step 5: Solve for x
    x = 3,251,999.40/2,070.12
  6. Step 6: Final answer
    x = 1,570.92

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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.