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Finding the Fourth Proportional to 3,602.25, 4,970.25 and 2,277.48

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Solution

The fourth proportional to 3,602.25, 4,970.25 and 2,277.48 is: 3,142.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.25 : 4,970.25 = 2,277.48 : x
  2. Step 2: Convert to fraction form
    3,602.25/4,970.25 = 2,277.48/x
  3. Step 3: Cross multiply
    3,602.25x = 4,970.25 × 2,277.48
  4. Step 4: Simplify right side
    3,602.25x = 11,319,644.97
  5. Step 5: Solve for x
    x = 11,319,644.97/3,602.25
  6. Step 6: Final answer
    x = 3,142.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.