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Finding the Fourth Proportional to 1,713.74, 2,374.74 and 1,609.70

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Solution

The fourth proportional to 1,713.74, 2,374.74 and 1,609.70 is: 2,230.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.74 : 2,374.74 = 1,609.70 : x
  2. Step 2: Convert to fraction form
    1,713.74/2,374.74 = 1,609.70/x
  3. Step 3: Cross multiply
    1,713.74x = 2,374.74 × 1,609.70
  4. Step 4: Simplify right side
    1,713.74x = 3,822,618.98
  5. Step 5: Solve for x
    x = 3,822,618.98/1,713.74
  6. Step 6: Final answer
    x = 2,230.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.