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Finding the Fourth Proportional to 2,100.83, 2,898.47 and 1,353.47

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Solution

The fourth proportional to 2,100.83, 2,898.47 and 1,353.47 is: 1,867.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.83 : 2,898.47 = 1,353.47 : x
  2. Step 2: Convert to fraction form
    2,100.83/2,898.47 = 1,353.47/x
  3. Step 3: Cross multiply
    2,100.83x = 2,898.47 × 1,353.47
  4. Step 4: Simplify right side
    2,100.83x = 3,922,992.19
  5. Step 5: Solve for x
    x = 3,922,992.19/2,100.83
  6. Step 6: Final answer
    x = 1,867.35

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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.