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Finding the Fourth Proportional to 1,341.78, 1,851.75 and 817.74

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Solution

The fourth proportional to 1,341.78, 1,851.75 and 817.74 is: 1,128.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.78 : 1,851.75 = 817.74 : x
  2. Step 2: Convert to fraction form
    1,341.78/1,851.75 = 817.74/x
  3. Step 3: Cross multiply
    1,341.78x = 1,851.75 × 817.74
  4. Step 4: Simplify right side
    1,341.78x = 1,514,250.05
  5. Step 5: Solve for x
    x = 1,514,250.05/1,341.78
  6. Step 6: Final answer
    x = 1,128.54

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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.