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Finding the Fourth Proportional to 2,897.30, 4,345.74 and 817.26

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Solution

The fourth proportional to 2,897.30, 4,345.74 and 817.26 is: 1,225.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.30 : 4,345.74 = 817.26 : x
  2. Step 2: Convert to fraction form
    2,897.30/4,345.74 = 817.26/x
  3. Step 3: Cross multiply
    2,897.30x = 4,345.74 × 817.26
  4. Step 4: Simplify right side
    2,897.30x = 3,551,599.47
  5. Step 5: Solve for x
    x = 3,551,599.47/2,897.30
  6. Step 6: Final answer
    x = 1,225.83

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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.