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Finding the Fourth Proportional to 2,477.52, 3,419.46 and 1,429.61

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Solution

The fourth proportional to 2,477.52, 3,419.46 and 1,429.61 is: 1,973.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.52 : 3,419.46 = 1,429.61 : x
  2. Step 2: Convert to fraction form
    2,477.52/3,419.46 = 1,429.61/x
  3. Step 3: Cross multiply
    2,477.52x = 3,419.46 × 1,429.61
  4. Step 4: Simplify right side
    2,477.52x = 4,888,477.11
  5. Step 5: Solve for x
    x = 4,888,477.11/2,477.52
  6. Step 6: Final answer
    x = 1,973.13

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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.