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Finding the Fourth Proportional to 3,437.58, 4,742.07 and 2,111.58

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Solution

The fourth proportional to 3,437.58, 4,742.07 and 2,111.58 is: 2,912.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.58 : 4,742.07 = 2,111.58 : x
  2. Step 2: Convert to fraction form
    3,437.58/4,742.07 = 2,111.58/x
  3. Step 3: Cross multiply
    3,437.58x = 4,742.07 × 2,111.58
  4. Step 4: Simplify right side
    3,437.58x = 10,013,260.17
  5. Step 5: Solve for x
    x = 10,013,260.17/3,437.58
  6. Step 6: Final answer
    x = 2,912.88

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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.