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Finding the Fourth Proportional to 3,442.76, 5,164.52 and 1,102.22

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Solution

The fourth proportional to 3,442.76, 5,164.52 and 1,102.22 is: 1,653.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.76 : 5,164.52 = 1,102.22 : x
  2. Step 2: Convert to fraction form
    3,442.76/5,164.52 = 1,102.22/x
  3. Step 3: Cross multiply
    3,442.76x = 5,164.52 × 1,102.22
  4. Step 4: Simplify right side
    3,442.76x = 5,692,437.23
  5. Step 5: Solve for x
    x = 5,692,437.23/3,442.76
  6. Step 6: Final answer
    x = 1,653.45

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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.