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Finding the Fourth Proportional to 2,070.05, 2,856.74 and 1,185.66

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Solution

The fourth proportional to 2,070.05, 2,856.74 and 1,185.66 is: 1,636.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.05 : 2,856.74 = 1,185.66 : x
  2. Step 2: Convert to fraction form
    2,070.05/2,856.74 = 1,185.66/x
  3. Step 3: Cross multiply
    2,070.05x = 2,856.74 × 1,185.66
  4. Step 4: Simplify right side
    2,070.05x = 3,387,116.42
  5. Step 5: Solve for x
    x = 3,387,116.42/2,070.05
  6. Step 6: Final answer
    x = 1,636.25

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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.