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Finding the Fourth Proportional to 3,026.69, 4,535.77 and 2,407.64

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Solution

The fourth proportional to 3,026.69, 4,535.77 and 2,407.64 is: 3,608.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026.69 : 4,535.77 = 2,407.64 : x
  2. Step 2: Convert to fraction form
    3,026.69/4,535.77 = 2,407.64/x
  3. Step 3: Cross multiply
    3,026.69x = 4,535.77 × 2,407.64
  4. Step 4: Simplify right side
    3,026.69x = 10,920,501.28
  5. Step 5: Solve for x
    x = 10,920,501.28/3,026.69
  6. Step 6: Final answer
    x = 3,608.07

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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.