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Finding the Fourth Proportional to 2,103.63, 2,902.93 and 1,159.44

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Solution

The fourth proportional to 2,103.63, 2,902.93 and 1,159.44 is: 1,599.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.63 : 2,902.93 = 1,159.44 : x
  2. Step 2: Convert to fraction form
    2,103.63/2,902.93 = 1,159.44/x
  3. Step 3: Cross multiply
    2,103.63x = 2,902.93 × 1,159.44
  4. Step 4: Simplify right side
    2,103.63x = 3,365,773.16
  5. Step 5: Solve for x
    x = 3,365,773.16/2,103.63
  6. Step 6: Final answer
    x = 1,599.98

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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.