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Finding the Fourth Proportional to 2,407.86, 3,609.77 and 1,483.38

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Solution

The fourth proportional to 2,407.86, 3,609.77 and 1,483.38 is: 2,223.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.86 : 3,609.77 = 1,483.38 : x
  2. Step 2: Convert to fraction form
    2,407.86/3,609.77 = 1,483.38/x
  3. Step 3: Cross multiply
    2,407.86x = 3,609.77 × 1,483.38
  4. Step 4: Simplify right side
    2,407.86x = 5,354,653.21
  5. Step 5: Solve for x
    x = 5,354,653.21/2,407.86
  6. Step 6: Final answer
    x = 2,223.82

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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.