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Finding the Fourth Proportional to 1,770.84, 2,433.17 and 1,657.08

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Solution

The fourth proportional to 1,770.84, 2,433.17 and 1,657.08 is: 2,276.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.84 : 2,433.17 = 1,657.08 : x
  2. Step 2: Convert to fraction form
    1,770.84/2,433.17 = 1,657.08/x
  3. Step 3: Cross multiply
    1,770.84x = 2,433.17 × 1,657.08
  4. Step 4: Simplify right side
    1,770.84x = 4,031,949.06
  5. Step 5: Solve for x
    x = 4,031,949.06/1,770.84
  6. Step 6: Final answer
    x = 2,276.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.