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Finding the Fourth Proportional to 1,545.86, 2,323.80 and 1,241.05

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Solution

The fourth proportional to 1,545.86, 2,323.80 and 1,241.05 is: 1,865.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.86 : 2,323.80 = 1,241.05 : x
  2. Step 2: Convert to fraction form
    1,545.86/2,323.80 = 1,241.05/x
  3. Step 3: Cross multiply
    1,545.86x = 2,323.80 × 1,241.05
  4. Step 4: Simplify right side
    1,545.86x = 2,883,940.37
  5. Step 5: Solve for x
    x = 2,883,940.37/1,545.86
  6. Step 6: Final answer
    x = 1,865.60

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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.