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Finding the Fourth Proportional to 2,877.88, 4,316.36 and 798.08

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Solution

The fourth proportional to 2,877.88, 4,316.36 and 798.08 is: 1,196.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.88 : 4,316.36 = 798.08 : x
  2. Step 2: Convert to fraction form
    2,877.88/4,316.36 = 798.08/x
  3. Step 3: Cross multiply
    2,877.88x = 4,316.36 × 798.08
  4. Step 4: Simplify right side
    2,877.88x = 3,444,800.59
  5. Step 5: Solve for x
    x = 3,444,800.59/2,877.88
  6. Step 6: Final answer
    x = 1,196.99

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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.