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Finding the Fourth Proportional to 2,477.60, 3,419.43 and 1,429.64

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Solution

The fourth proportional to 2,477.60, 3,419.43 and 1,429.64 is: 1,973.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.60 : 3,419.43 = 1,429.64 : x
  2. Step 2: Convert to fraction form
    2,477.60/3,419.43 = 1,429.64/x
  3. Step 3: Cross multiply
    2,477.60x = 3,419.43 × 1,429.64
  4. Step 4: Simplify right side
    2,477.60x = 4,888,553.91
  5. Step 5: Solve for x
    x = 4,888,553.91/2,477.60
  6. Step 6: Final answer
    x = 1,973.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.