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Finding the Fourth Proportional to 2,604.70, 3,594.08 and 1,610.30

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Solution

The fourth proportional to 2,604.70, 3,594.08 and 1,610.30 is: 2,221.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.70 : 3,594.08 = 1,610.30 : x
  2. Step 2: Convert to fraction form
    2,604.70/3,594.08 = 1,610.30/x
  3. Step 3: Cross multiply
    2,604.70x = 3,594.08 × 1,610.30
  4. Step 4: Simplify right side
    2,604.70x = 5,787,547.02
  5. Step 5: Solve for x
    x = 5,787,547.02/2,604.70
  6. Step 6: Final answer
    x = 2,221.96

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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.