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Finding the Fourth Proportional to 2,477.82, 3,419.64 and 1,429.95

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Solution

The fourth proportional to 2,477.82, 3,419.64 and 1,429.95 is: 1,973.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.82 : 3,419.64 = 1,429.95 : x
  2. Step 2: Convert to fraction form
    2,477.82/3,419.64 = 1,429.95/x
  3. Step 3: Cross multiply
    2,477.82x = 3,419.64 × 1,429.95
  4. Step 4: Simplify right side
    2,477.82x = 4,889,914.22
  5. Step 5: Solve for x
    x = 4,889,914.22/2,477.82
  6. Step 6: Final answer
    x = 1,973.47

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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.