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Finding the Fourth Proportional to 2,897.20, 4,346.06 and 817.24

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Solution

The fourth proportional to 2,897.20, 4,346.06 and 817.24 is: 1,225.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.20 : 4,346.06 = 817.24 : x
  2. Step 2: Convert to fraction form
    2,897.20/4,346.06 = 817.24/x
  3. Step 3: Cross multiply
    2,897.20x = 4,346.06 × 817.24
  4. Step 4: Simplify right side
    2,897.20x = 3,551,774.07
  5. Step 5: Solve for x
    x = 3,551,774.07/2,897.20
  6. Step 6: Final answer
    x = 1,225.93

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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.