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Finding the Fourth Proportional to 2,089.86, 3,117.10 and 1,813.76

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Solution

The fourth proportional to 2,089.86, 3,117.10 and 1,813.76 is: 2,705.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.86 : 3,117.10 = 1,813.76 : x
  2. Step 2: Convert to fraction form
    2,089.86/3,117.10 = 1,813.76/x
  3. Step 3: Cross multiply
    2,089.86x = 3,117.10 × 1,813.76
  4. Step 4: Simplify right side
    2,089.86x = 5,653,671.30
  5. Step 5: Solve for x
    x = 5,653,671.30/2,089.86
  6. Step 6: Final answer
    x = 2,705.29

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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.