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Finding the Fourth Proportional to 1,811.91, 2,500.49 and 1,026

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Solution

The fourth proportional to 1,811.91, 2,500.49 and 1,026 is: 1,415.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.91 : 2,500.49 = 1,026 : x
  2. Step 2: Convert to fraction form
    1,811.91/2,500.49 = 1,026/x
  3. Step 3: Cross multiply
    1,811.91x = 2,500.49 × 1,026
  4. Step 4: Simplify right side
    1,811.91x = 2,565,497.61
  5. Step 5: Solve for x
    x = 2,565,497.61/1,811.91
  6. Step 6: Final answer
    x = 1,415.91

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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.