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Finding the Fourth Proportional to 1,851.57, 2,777.64 and 618.69

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Solution

The fourth proportional to 1,851.57, 2,777.64 and 618.69 is: 928.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.57 : 2,777.64 = 618.69 : x
  2. Step 2: Convert to fraction form
    1,851.57/2,777.64 = 618.69/x
  3. Step 3: Cross multiply
    1,851.57x = 2,777.64 × 618.69
  4. Step 4: Simplify right side
    1,851.57x = 1,718,498.09
  5. Step 5: Solve for x
    x = 1,718,498.09/1,851.57
  6. Step 6: Final answer
    x = 928.13

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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.