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Finding the Fourth Proportional to 1,930, 2,663.40 and 1,102.16

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Solution

The fourth proportional to 1,930, 2,663.40 and 1,102.16 is: 1,520.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930 : 2,663.40 = 1,102.16 : x
  2. Step 2: Convert to fraction form
    1,930/2,663.40 = 1,102.16/x
  3. Step 3: Cross multiply
    1,930x = 2,663.40 × 1,102.16
  4. Step 4: Simplify right side
    1,930x = 2,935,492.94
  5. Step 5: Solve for x
    x = 2,935,492.94/1,930
  6. Step 6: Final answer
    x = 1,520.98

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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.