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Finding the Fourth Proportional to 2,095.71, 3,140.90 and 1,169.93

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Solution

The fourth proportional to 2,095.71, 3,140.90 and 1,169.93 is: 1,753.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.71 : 3,140.90 = 1,169.93 : x
  2. Step 2: Convert to fraction form
    2,095.71/3,140.90 = 1,169.93/x
  3. Step 3: Cross multiply
    2,095.71x = 3,140.90 × 1,169.93
  4. Step 4: Simplify right side
    2,095.71x = 3,674,611.58
  5. Step 5: Solve for x
    x = 3,674,611.58/2,095.71
  6. Step 6: Final answer
    x = 1,753.40

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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.