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Finding the Fourth Proportional to 1,930.48, 2,897.24 and 1,006.32

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Solution

The fourth proportional to 1,930.48, 2,897.24 and 1,006.32 is: 1,510.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.48 : 2,897.24 = 1,006.32 : x
  2. Step 2: Convert to fraction form
    1,930.48/2,897.24 = 1,006.32/x
  3. Step 3: Cross multiply
    1,930.48x = 2,897.24 × 1,006.32
  4. Step 4: Simplify right side
    1,930.48x = 2,915,564.88
  5. Step 5: Solve for x
    x = 2,915,564.88/1,930.48
  6. Step 6: Final answer
    x = 1,510.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.