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Finding the Fourth Proportional to 2,095.01, 3,140.12 and 1,170.99

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Solution

The fourth proportional to 2,095.01, 3,140.12 and 1,170.99 is: 1,755.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.01 : 3,140.12 = 1,170.99 : x
  2. Step 2: Convert to fraction form
    2,095.01/3,140.12 = 1,170.99/x
  3. Step 3: Cross multiply
    2,095.01x = 3,140.12 × 1,170.99
  4. Step 4: Simplify right side
    2,095.01x = 3,677,043.26
  5. Step 5: Solve for x
    x = 3,677,043.26/2,095.01
  6. Step 6: Final answer
    x = 1,755.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.