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Finding the Fourth Proportional to 1,401.75, 1,934.64 and 1,102.32

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Solution

The fourth proportional to 1,401.75, 1,934.64 and 1,102.32 is: 1,521.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.75 : 1,934.64 = 1,102.32 : x
  2. Step 2: Convert to fraction form
    1,401.75/1,934.64 = 1,102.32/x
  3. Step 3: Cross multiply
    1,401.75x = 1,934.64 × 1,102.32
  4. Step 4: Simplify right side
    1,401.75x = 2,132,592.36
  5. Step 5: Solve for x
    x = 2,132,592.36/1,401.75
  6. Step 6: Final answer
    x = 1,521.38

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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.