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Finding the Fourth Proportional to 2,411.86, 3,617.55 and 1,712.06

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Solution

The fourth proportional to 2,411.86, 3,617.55 and 1,712.06 is: 2,567.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.86 : 3,617.55 = 1,712.06 : x
  2. Step 2: Convert to fraction form
    2,411.86/3,617.55 = 1,712.06/x
  3. Step 3: Cross multiply
    2,411.86x = 3,617.55 × 1,712.06
  4. Step 4: Simplify right side
    2,411.86x = 6,193,462.65
  5. Step 5: Solve for x
    x = 6,193,462.65/2,411.86
  6. Step 6: Final answer
    x = 2,567.92

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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.