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Finding the Fourth Proportional to 2,477.46, 3,419.22 and 1,429.50

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Solution

The fourth proportional to 2,477.46, 3,419.22 and 1,429.50 is: 1,972.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.46 : 3,419.22 = 1,429.50 : x
  2. Step 2: Convert to fraction form
    2,477.46/3,419.22 = 1,429.50/x
  3. Step 3: Cross multiply
    2,477.46x = 3,419.22 × 1,429.50
  4. Step 4: Simplify right side
    2,477.46x = 4,887,774.99
  5. Step 5: Solve for x
    x = 4,887,774.99/2,477.46
  6. Step 6: Final answer
    x = 1,972.90

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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.