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Finding the Fourth Proportional to 1,372.93, 1,894.92 and 930.98

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Solution

The fourth proportional to 1,372.93, 1,894.92 and 930.98 is: 1,284.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.93 : 1,894.92 = 930.98 : x
  2. Step 2: Convert to fraction form
    1,372.93/1,894.92 = 930.98/x
  3. Step 3: Cross multiply
    1,372.93x = 1,894.92 × 930.98
  4. Step 4: Simplify right side
    1,372.93x = 1,764,128.45
  5. Step 5: Solve for x
    x = 1,764,128.45/1,372.93
  6. Step 6: Final answer
    x = 1,284.93

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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.