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Finding the Fourth Proportional to 2,975.31, 4,102.02 and 2,442.24

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Solution

The fourth proportional to 2,975.31, 4,102.02 and 2,442.24 is: 3,367.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.31 : 4,102.02 = 2,442.24 : x
  2. Step 2: Convert to fraction form
    2,975.31/4,102.02 = 2,442.24/x
  3. Step 3: Cross multiply
    2,975.31x = 4,102.02 × 2,442.24
  4. Step 4: Simplify right side
    2,975.31x = 10,018,117.32
  5. Step 5: Solve for x
    x = 10,018,117.32/2,975.31
  6. Step 6: Final answer
    x = 3,367.08

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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.