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Finding the Fourth Proportional to 2,097.03, 2,893.97 and 1,152.86

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Solution

The fourth proportional to 2,097.03, 2,893.97 and 1,152.86 is: 1,590.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.03 : 2,893.97 = 1,152.86 : x
  2. Step 2: Convert to fraction form
    2,097.03/2,893.97 = 1,152.86/x
  3. Step 3: Cross multiply
    2,097.03x = 2,893.97 × 1,152.86
  4. Step 4: Simplify right side
    2,097.03x = 3,336,352.37
  5. Step 5: Solve for x
    x = 3,336,352.37/2,097.03
  6. Step 6: Final answer
    x = 1,590.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.