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Finding the Fourth Proportional to 2,103.06, 2,902.18 and 1,158.93

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Solution

The fourth proportional to 2,103.06, 2,902.18 and 1,158.93 is: 1,599.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.06 : 2,902.18 = 1,158.93 : x
  2. Step 2: Convert to fraction form
    2,103.06/2,902.18 = 1,158.93/x
  3. Step 3: Cross multiply
    2,103.06x = 2,902.18 × 1,158.93
  4. Step 4: Simplify right side
    2,103.06x = 3,363,436.35
  5. Step 5: Solve for x
    x = 3,363,436.35/2,103.06
  6. Step 6: Final answer
    x = 1,599.31

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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.