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Finding the Fourth Proportional to 1,674.58, 2,311.19 and 1,600.76

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Solution

The fourth proportional to 1,674.58, 2,311.19 and 1,600.76 is: 2,209.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.58 : 2,311.19 = 1,600.76 : x
  2. Step 2: Convert to fraction form
    1,674.58/2,311.19 = 1,600.76/x
  3. Step 3: Cross multiply
    1,674.58x = 2,311.19 × 1,600.76
  4. Step 4: Simplify right side
    1,674.58x = 3,699,652.95
  5. Step 5: Solve for x
    x = 3,699,652.95/1,674.58
  6. Step 6: Final answer
    x = 2,209.31

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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.