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Finding the Fourth Proportional to 2,070.12, 2,856.76 and 1,186

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Solution

The fourth proportional to 2,070.12, 2,856.76 and 1,186 is: 1,636.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.12 : 2,856.76 = 1,186 : x
  2. Step 2: Convert to fraction form
    2,070.12/2,856.76 = 1,186/x
  3. Step 3: Cross multiply
    2,070.12x = 2,856.76 × 1,186
  4. Step 4: Simplify right side
    2,070.12x = 3,388,117.36
  5. Step 5: Solve for x
    x = 3,388,117.36/2,070.12
  6. Step 6: Final answer
    x = 1,636.68

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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.