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Finding the Fourth Proportional to 2,298.10, 3,424.02 and 2,275.05

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Solution

The fourth proportional to 2,298.10, 3,424.02 and 2,275.05 is: 3,389.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.10 : 3,424.02 = 2,275.05 : x
  2. Step 2: Convert to fraction form
    2,298.10/3,424.02 = 2,275.05/x
  3. Step 3: Cross multiply
    2,298.10x = 3,424.02 × 2,275.05
  4. Step 4: Simplify right side
    2,298.10x = 7,789,819.36
  5. Step 5: Solve for x
    x = 7,789,819.36/2,298.10
  6. Step 6: Final answer
    x = 3,389.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.