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Finding the Fourth Proportional to 2,341.80, 3,491.68 and 2,300.28

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Solution

The fourth proportional to 2,341.80, 3,491.68 and 2,300.28 is: 3,429.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.80 : 3,491.68 = 2,300.28 : x
  2. Step 2: Convert to fraction form
    2,341.80/3,491.68 = 2,300.28/x
  3. Step 3: Cross multiply
    2,341.80x = 3,491.68 × 2,300.28
  4. Step 4: Simplify right side
    2,341.80x = 8,031,845.88
  5. Step 5: Solve for x
    x = 8,031,845.88/2,341.80
  6. Step 6: Final answer
    x = 3,429.78

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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.