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Finding the Fourth Proportional to 1,770.65, 2,664.42 and 1,460.55

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Solution

The fourth proportional to 1,770.65, 2,664.42 and 1,460.55 is: 2,197.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.65 : 2,664.42 = 1,460.55 : x
  2. Step 2: Convert to fraction form
    1,770.65/2,664.42 = 1,460.55/x
  3. Step 3: Cross multiply
    1,770.65x = 2,664.42 × 1,460.55
  4. Step 4: Simplify right side
    1,770.65x = 3,891,518.63
  5. Step 5: Solve for x
    x = 3,891,518.63/1,770.65
  6. Step 6: Final answer
    x = 2,197.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.