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Finding the Fourth Proportional to 1,403.93, 1,937.72 and 962.42

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Solution

The fourth proportional to 1,403.93, 1,937.72 and 962.42 is: 1,328.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.93 : 1,937.72 = 962.42 : x
  2. Step 2: Convert to fraction form
    1,403.93/1,937.72 = 962.42/x
  3. Step 3: Cross multiply
    1,403.93x = 1,937.72 × 962.42
  4. Step 4: Simplify right side
    1,403.93x = 1,864,893.20
  5. Step 5: Solve for x
    x = 1,864,893.20/1,403.93
  6. Step 6: Final answer
    x = 1,328.34

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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.