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Finding the Fourth Proportional to 1,886.42, 2,605.53 and 1,649.77

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Solution

The fourth proportional to 1,886.42, 2,605.53 and 1,649.77 is: 2,278.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.42 : 2,605.53 = 1,649.77 : x
  2. Step 2: Convert to fraction form
    1,886.42/2,605.53 = 1,649.77/x
  3. Step 3: Cross multiply
    1,886.42x = 2,605.53 × 1,649.77
  4. Step 4: Simplify right side
    1,886.42x = 4,298,524.90
  5. Step 5: Solve for x
    x = 4,298,524.90/1,886.42
  6. Step 6: Final answer
    x = 2,278.66

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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.