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Finding the Fourth Proportional to 2,070.03, 2,856.69 and 1,185.92

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Solution

The fourth proportional to 2,070.03, 2,856.69 and 1,185.92 is: 1,636.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.03 : 2,856.69 = 1,185.92 : x
  2. Step 2: Convert to fraction form
    2,070.03/2,856.69 = 1,185.92/x
  3. Step 3: Cross multiply
    2,070.03x = 2,856.69 × 1,185.92
  4. Step 4: Simplify right side
    2,070.03x = 3,387,791.52
  5. Step 5: Solve for x
    x = 3,387,791.52/2,070.03
  6. Step 6: Final answer
    x = 1,636.59

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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.