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Finding the Fourth Proportional to 2,103.17, 2,902.98 and 1,406.57

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Solution

The fourth proportional to 2,103.17, 2,902.98 and 1,406.57 is: 1,941.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.17 : 2,902.98 = 1,406.57 : x
  2. Step 2: Convert to fraction form
    2,103.17/2,902.98 = 1,406.57/x
  3. Step 3: Cross multiply
    2,103.17x = 2,902.98 × 1,406.57
  4. Step 4: Simplify right side
    2,103.17x = 4,083,230.06
  5. Step 5: Solve for x
    x = 4,083,230.06/2,103.17
  6. Step 6: Final answer
    x = 1,941.47

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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.