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Finding the Fourth Proportional to 2,491.95, 3,439.02 and 1,429.89

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Solution

The fourth proportional to 2,491.95, 3,439.02 and 1,429.89 is: 1,973.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.95 : 3,439.02 = 1,429.89 : x
  2. Step 2: Convert to fraction form
    2,491.95/3,439.02 = 1,429.89/x
  3. Step 3: Cross multiply
    2,491.95x = 3,439.02 × 1,429.89
  4. Step 4: Simplify right side
    2,491.95x = 4,917,420.31
  5. Step 5: Solve for x
    x = 4,917,420.31/2,491.95
  6. Step 6: Final answer
    x = 1,973.32

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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.