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Finding the Fourth Proportional to 1,851.42, 2,777.57 and 618.84

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Solution

The fourth proportional to 1,851.42, 2,777.57 and 618.84 is: 928.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.42 : 2,777.57 = 618.84 : x
  2. Step 2: Convert to fraction form
    1,851.42/2,777.57 = 618.84/x
  3. Step 3: Cross multiply
    1,851.42x = 2,777.57 × 618.84
  4. Step 4: Simplify right side
    1,851.42x = 1,718,868.32
  5. Step 5: Solve for x
    x = 1,718,868.32/1,851.42
  6. Step 6: Final answer
    x = 928.41

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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.