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Finding the Fourth Proportional to 2,461.86, 3,686.19 and 1,535.58

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Solution

The fourth proportional to 2,461.86, 3,686.19 and 1,535.58 is: 2,299.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.86 : 3,686.19 = 1,535.58 : x
  2. Step 2: Convert to fraction form
    2,461.86/3,686.19 = 1,535.58/x
  3. Step 3: Cross multiply
    2,461.86x = 3,686.19 × 1,535.58
  4. Step 4: Simplify right side
    2,461.86x = 5,660,413.53
  5. Step 5: Solve for x
    x = 5,660,413.53/2,461.86
  6. Step 6: Final answer
    x = 2,299.24

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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.