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Finding the Fourth Proportional to 1,335.86, 1,844.26 and 895.22

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Solution

The fourth proportional to 1,335.86, 1,844.26 and 895.22 is: 1,235.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.86 : 1,844.26 = 895.22 : x
  2. Step 2: Convert to fraction form
    1,335.86/1,844.26 = 895.22/x
  3. Step 3: Cross multiply
    1,335.86x = 1,844.26 × 895.22
  4. Step 4: Simplify right side
    1,335.86x = 1,651,018.44
  5. Step 5: Solve for x
    x = 1,651,018.44/1,335.86
  6. Step 6: Final answer
    x = 1,235.92

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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.