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Finding the Fourth Proportional to 3,196.76, 4,795.54 and 888.26

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Solution

The fourth proportional to 3,196.76, 4,795.54 and 888.26 is: 1,332.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.76 : 4,795.54 = 888.26 : x
  2. Step 2: Convert to fraction form
    3,196.76/4,795.54 = 888.26/x
  3. Step 3: Cross multiply
    3,196.76x = 4,795.54 × 888.26
  4. Step 4: Simplify right side
    3,196.76x = 4,259,686.36
  5. Step 5: Solve for x
    x = 4,259,686.36/3,196.76
  6. Step 6: Final answer
    x = 1,332.50

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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.