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Finding the Fourth Proportional to 2,103.95, 2,903.63 and 1,159.89

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Solution

The fourth proportional to 2,103.95, 2,903.63 and 1,159.89 is: 1,600.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.95 : 2,903.63 = 1,159.89 : x
  2. Step 2: Convert to fraction form
    2,103.95/2,903.63 = 1,159.89/x
  3. Step 3: Cross multiply
    2,103.95x = 2,903.63 × 1,159.89
  4. Step 4: Simplify right side
    2,103.95x = 3,367,885.60
  5. Step 5: Solve for x
    x = 3,367,885.60/2,103.95
  6. Step 6: Final answer
    x = 1,600.75

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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.