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Finding the Fourth Proportional to 2,854.94, 4,282.40 and 774.93

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Solution

The fourth proportional to 2,854.94, 4,282.40 and 774.93 is: 1,162.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.94 : 4,282.40 = 774.93 : x
  2. Step 2: Convert to fraction form
    2,854.94/4,282.40 = 774.93/x
  3. Step 3: Cross multiply
    2,854.94x = 4,282.40 × 774.93
  4. Step 4: Simplify right side
    2,854.94x = 3,318,556.36
  5. Step 5: Solve for x
    x = 3,318,556.36/2,854.94
  6. Step 6: Final answer
    x = 1,162.39

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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.