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Finding the Fourth Proportional to 3,419.50, 4,717.02 and 2,298.46

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Solution

The fourth proportional to 3,419.50, 4,717.02 and 2,298.46 is: 3,170.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.50 : 4,717.02 = 2,298.46 : x
  2. Step 2: Convert to fraction form
    3,419.50/4,717.02 = 2,298.46/x
  3. Step 3: Cross multiply
    3,419.50x = 4,717.02 × 2,298.46
  4. Step 4: Simplify right side
    3,419.50x = 10,841,881.79
  5. Step 5: Solve for x
    x = 10,841,881.79/3,419.50
  6. Step 6: Final answer
    x = 3,170.60

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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.