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Finding the Fourth Proportional to 2,606.58, 3,597.12 and 1,427.76

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Solution

The fourth proportional to 2,606.58, 3,597.12 and 1,427.76 is: 1,970.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.58 : 3,597.12 = 1,427.76 : x
  2. Step 2: Convert to fraction form
    2,606.58/3,597.12 = 1,427.76/x
  3. Step 3: Cross multiply
    2,606.58x = 3,597.12 × 1,427.76
  4. Step 4: Simplify right side
    2,606.58x = 5,135,824.05
  5. Step 5: Solve for x
    x = 5,135,824.05/2,606.58
  6. Step 6: Final answer
    x = 1,970.33

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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.