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Finding the Fourth Proportional to 2,897.76, 4,345.98 and 817.98

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Solution

The fourth proportional to 2,897.76, 4,345.98 and 817.98 is: 1,226.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.76 : 4,345.98 = 817.98 : x
  2. Step 2: Convert to fraction form
    2,897.76/4,345.98 = 817.98/x
  3. Step 3: Cross multiply
    2,897.76x = 4,345.98 × 817.98
  4. Step 4: Simplify right side
    2,897.76x = 3,554,924.72
  5. Step 5: Solve for x
    x = 3,554,924.72/2,897.76
  6. Step 6: Final answer
    x = 1,226.78

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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.