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Finding the Fourth Proportional to 2,089.83, 3,146.95 and 1,545.84

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Solution

The fourth proportional to 2,089.83, 3,146.95 and 1,545.84 is: 2,327.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.83 : 3,146.95 = 1,545.84 : x
  2. Step 2: Convert to fraction form
    2,089.83/3,146.95 = 1,545.84/x
  3. Step 3: Cross multiply
    2,089.83x = 3,146.95 × 1,545.84
  4. Step 4: Simplify right side
    2,089.83x = 4,864,681.19
  5. Step 5: Solve for x
    x = 4,864,681.19/2,089.83
  6. Step 6: Final answer
    x = 2,327.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.