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Finding the Fourth Proportional to 2,727.86, 4,089.74 and 877.91

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Solution

The fourth proportional to 2,727.86, 4,089.74 and 877.91 is: 1,316.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.86 : 4,089.74 = 877.91 : x
  2. Step 2: Convert to fraction form
    2,727.86/4,089.74 = 877.91/x
  3. Step 3: Cross multiply
    2,727.86x = 4,089.74 × 877.91
  4. Step 4: Simplify right side
    2,727.86x = 3,590,398.81
  5. Step 5: Solve for x
    x = 3,590,398.81/2,727.86
  6. Step 6: Final answer
    x = 1,316.20

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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.