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Finding the Fourth Proportional to 2,070.32, 2,857.20 and 1,186.16

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Solution

The fourth proportional to 2,070.32, 2,857.20 and 1,186.16 is: 1,636.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.32 : 2,857.20 = 1,186.16 : x
  2. Step 2: Convert to fraction form
    2,070.32/2,857.20 = 1,186.16/x
  3. Step 3: Cross multiply
    2,070.32x = 2,857.20 × 1,186.16
  4. Step 4: Simplify right side
    2,070.32x = 3,389,096.35
  5. Step 5: Solve for x
    x = 3,389,096.35/2,070.32
  6. Step 6: Final answer
    x = 1,636.99

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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.