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Finding the Fourth Proportional to 1,784.56, 2,462.13 and 1,259.68

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Solution

The fourth proportional to 1,784.56, 2,462.13 and 1,259.68 is: 1,737.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.56 : 2,462.13 = 1,259.68 : x
  2. Step 2: Convert to fraction form
    1,784.56/2,462.13 = 1,259.68/x
  3. Step 3: Cross multiply
    1,784.56x = 2,462.13 × 1,259.68
  4. Step 4: Simplify right side
    1,784.56x = 3,101,495.92
  5. Step 5: Solve for x
    x = 3,101,495.92/1,784.56
  6. Step 6: Final answer
    x = 1,737.96

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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.