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Finding the Fourth Proportional to 2,605.80, 3,595.70 and 1,557.68

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Solution

The fourth proportional to 2,605.80, 3,595.70 and 1,557.68 is: 2,149.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.80 : 3,595.70 = 1,557.68 : x
  2. Step 2: Convert to fraction form
    2,605.80/3,595.70 = 1,557.68/x
  3. Step 3: Cross multiply
    2,605.80x = 3,595.70 × 1,557.68
  4. Step 4: Simplify right side
    2,605.80x = 5,600,949.98
  5. Step 5: Solve for x
    x = 5,600,949.98/2,605.80
  6. Step 6: Final answer
    x = 2,149.42

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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.