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Finding the Fourth Proportional to 1,851.86, 2,777.76 and 619.18

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Solution

The fourth proportional to 1,851.86, 2,777.76 and 619.18 is: 928.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.86 : 2,777.76 = 619.18 : x
  2. Step 2: Convert to fraction form
    1,851.86/2,777.76 = 619.18/x
  3. Step 3: Cross multiply
    1,851.86x = 2,777.76 × 619.18
  4. Step 4: Simplify right side
    1,851.86x = 1,719,926.49
  5. Step 5: Solve for x
    x = 1,719,926.49/1,851.86
  6. Step 6: Final answer
    x = 928.75

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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.