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Finding the Fourth Proportional to 1,826.40, 2,503.36 and 1,760.80

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Solution

The fourth proportional to 1,826.40, 2,503.36 and 1,760.80 is: 2,413.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826.40 : 2,503.36 = 1,760.80 : x
  2. Step 2: Convert to fraction form
    1,826.40/2,503.36 = 1,760.80/x
  3. Step 3: Cross multiply
    1,826.40x = 2,503.36 × 1,760.80
  4. Step 4: Simplify right side
    1,826.40x = 4,407,916.29
  5. Step 5: Solve for x
    x = 4,407,916.29/1,826.40
  6. Step 6: Final answer
    x = 2,413.45

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.