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Finding the Fourth Proportional to 1,770.55, 2,650.69 and 1,582.95

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Solution

The fourth proportional to 1,770.55, 2,650.69 and 1,582.95 is: 2,369.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.55 : 2,650.69 = 1,582.95 : x
  2. Step 2: Convert to fraction form
    1,770.55/2,650.69 = 1,582.95/x
  3. Step 3: Cross multiply
    1,770.55x = 2,650.69 × 1,582.95
  4. Step 4: Simplify right side
    1,770.55x = 4,195,909.74
  5. Step 5: Solve for x
    x = 4,195,909.74/1,770.55
  6. Step 6: Final answer
    x = 2,369.83

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