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Finding the Fourth Proportional to 2,497.78, 3,746.67 and 854.34

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Solution

The fourth proportional to 2,497.78, 3,746.67 and 854.34 is: 1,281.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.78 : 3,746.67 = 854.34 : x
  2. Step 2: Convert to fraction form
    2,497.78/3,746.67 = 854.34/x
  3. Step 3: Cross multiply
    2,497.78x = 3,746.67 × 854.34
  4. Step 4: Simplify right side
    2,497.78x = 3,200,907.04
  5. Step 5: Solve for x
    x = 3,200,907.04/2,497.78
  6. Step 6: Final answer
    x = 1,281.50

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1.5x scale

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.