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Finding the Fourth Proportional to 3,066.09, 4,599.86 and 874.77

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Solution

The fourth proportional to 3,066.09, 4,599.86 and 874.77 is: 1,312.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.09 : 4,599.86 = 874.77 : x
  2. Step 2: Convert to fraction form
    3,066.09/4,599.86 = 874.77/x
  3. Step 3: Cross multiply
    3,066.09x = 4,599.86 × 874.77
  4. Step 4: Simplify right side
    3,066.09x = 4,023,797.91
  5. Step 5: Solve for x
    x = 4,023,797.91/3,066.09
  6. Step 6: Final answer
    x = 1,312.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.