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Finding the Fourth Proportional to 2,897.92, 4,341.12 and 2,533.12

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Solution

The fourth proportional to 2,897.92, 4,341.12 and 2,533.12 is: 3,794.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.92 : 4,341.12 = 2,533.12 : x
  2. Step 2: Convert to fraction form
    2,897.92/4,341.12 = 2,533.12/x
  3. Step 3: Cross multiply
    2,897.92x = 4,341.12 × 2,533.12
  4. Step 4: Simplify right side
    2,897.92x = 10,996,577.89
  5. Step 5: Solve for x
    x = 10,996,577.89/2,897.92
  6. Step 6: Final answer
    x = 3,794.65

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