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Finding the Fourth Proportional to 2,235.78, 3,352.14 and 848.88

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Solution

The fourth proportional to 2,235.78, 3,352.14 and 848.88 is: 1,272.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.78 : 3,352.14 = 848.88 : x
  2. Step 2: Convert to fraction form
    2,235.78/3,352.14 = 848.88/x
  3. Step 3: Cross multiply
    2,235.78x = 3,352.14 × 848.88
  4. Step 4: Simplify right side
    2,235.78x = 2,845,564.60
  5. Step 5: Solve for x
    x = 2,845,564.60/2,235.78
  6. Step 6: Final answer
    x = 1,272.74

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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.