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Finding the Fourth Proportional to 3,462.80, 4,778.59 and 1,970.68

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Solution

The fourth proportional to 3,462.80, 4,778.59 and 1,970.68 is: 2,719.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.80 : 4,778.59 = 1,970.68 : x
  2. Step 2: Convert to fraction form
    3,462.80/4,778.59 = 1,970.68/x
  3. Step 3: Cross multiply
    3,462.80x = 4,778.59 × 1,970.68
  4. Step 4: Simplify right side
    3,462.80x = 9,417,037.99
  5. Step 5: Solve for x
    x = 9,417,037.99/3,462.80
  6. Step 6: Final answer
    x = 2,719.49

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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.