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Finding the Fourth Proportional to 2,103.59, 2,902.08 and 1,357.46

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Solution

The fourth proportional to 2,103.59, 2,902.08 and 1,357.46 is: 1,872.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.59 : 2,902.08 = 1,357.46 : x
  2. Step 2: Convert to fraction form
    2,103.59/2,902.08 = 1,357.46/x
  3. Step 3: Cross multiply
    2,103.59x = 2,902.08 × 1,357.46
  4. Step 4: Simplify right side
    2,103.59x = 3,939,457.52
  5. Step 5: Solve for x
    x = 3,939,457.52/2,103.59
  6. Step 6: Final answer
    x = 1,872.73

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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.