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Finding the Fourth Proportional to 2,287.90, 3,411.86 and 2,035.91

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Solution

The fourth proportional to 2,287.90, 3,411.86 and 2,035.91 is: 3,036.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.90 : 3,411.86 = 2,035.91 : x
  2. Step 2: Convert to fraction form
    2,287.90/3,411.86 = 2,035.91/x
  3. Step 3: Cross multiply
    2,287.90x = 3,411.86 × 2,035.91
  4. Step 4: Simplify right side
    2,287.90x = 6,946,237.24
  5. Step 5: Solve for x
    x = 6,946,237.24/2,287.90
  6. Step 6: Final answer
    x = 3,036.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.