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Finding the Fourth Proportional to 2,070.67, 2,856.92 and 1,186.30

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Solution

The fourth proportional to 2,070.67, 2,856.92 and 1,186.30 is: 1,636.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.67 : 2,856.92 = 1,186.30 : x
  2. Step 2: Convert to fraction form
    2,070.67/2,856.92 = 1,186.30/x
  3. Step 3: Cross multiply
    2,070.67x = 2,856.92 × 1,186.30
  4. Step 4: Simplify right side
    2,070.67x = 3,389,160.02
  5. Step 5: Solve for x
    x = 3,389,160.02/2,070.67
  6. Step 6: Final answer
    x = 1,636.75

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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.