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Finding the Fourth Proportional to 2,070.07, 2,856.93 and 1,186

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Solution

The fourth proportional to 2,070.07, 2,856.93 and 1,186 is: 1,636.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.07 : 2,856.93 = 1,186 : x
  2. Step 2: Convert to fraction form
    2,070.07/2,856.93 = 1,186/x
  3. Step 3: Cross multiply
    2,070.07x = 2,856.93 × 1,186
  4. Step 4: Simplify right side
    2,070.07x = 3,388,318.98
  5. Step 5: Solve for x
    x = 3,388,318.98/2,070.07
  6. Step 6: Final answer
    x = 1,636.81

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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.