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Finding the Fourth Proportional to 1,851.78, 2,551.94 and 1,326.90

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Solution

The fourth proportional to 1,851.78, 2,551.94 and 1,326.90 is: 1,828.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.78 : 2,551.94 = 1,326.90 : x
  2. Step 2: Convert to fraction form
    1,851.78/2,551.94 = 1,326.90/x
  3. Step 3: Cross multiply
    1,851.78x = 2,551.94 × 1,326.90
  4. Step 4: Simplify right side
    1,851.78x = 3,386,169.19
  5. Step 5: Solve for x
    x = 3,386,169.19/1,851.78
  6. Step 6: Final answer
    x = 1,828.60

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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.