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Finding the Fourth Proportional to 2,477.88, 3,419.46 and 1,429.94

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Solution

The fourth proportional to 2,477.88, 3,419.46 and 1,429.94 is: 1,973.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.88 : 3,419.46 = 1,429.94 : x
  2. Step 2: Convert to fraction form
    2,477.88/3,419.46 = 1,429.94/x
  3. Step 3: Cross multiply
    2,477.88x = 3,419.46 × 1,429.94
  4. Step 4: Simplify right side
    2,477.88x = 4,889,622.63
  5. Step 5: Solve for x
    x = 4,889,622.63/2,477.88
  6. Step 6: Final answer
    x = 1,973.31

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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.