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Finding the Fourth Proportional to 2,897.82, 4,346.76 and 923.28

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Solution

The fourth proportional to 2,897.82, 4,346.76 and 923.28 is: 1,384.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.82 : 4,346.76 = 923.28 : x
  2. Step 2: Convert to fraction form
    2,897.82/4,346.76 = 923.28/x
  3. Step 3: Cross multiply
    2,897.82x = 4,346.76 × 923.28
  4. Step 4: Simplify right side
    2,897.82x = 4,013,276.57
  5. Step 5: Solve for x
    x = 4,013,276.57/2,897.82
  6. Step 6: Final answer
    x = 1,384.93

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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.