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Finding the Fourth Proportional to 3,129.93, 4,692.47 and 1,484.01

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Solution

The fourth proportional to 3,129.93, 4,692.47 and 1,484.01 is: 2,224.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.93 : 4,692.47 = 1,484.01 : x
  2. Step 2: Convert to fraction form
    3,129.93/4,692.47 = 1,484.01/x
  3. Step 3: Cross multiply
    3,129.93x = 4,692.47 × 1,484.01
  4. Step 4: Simplify right side
    3,129.93x = 6,963,664.98
  5. Step 5: Solve for x
    x = 6,963,664.98/3,129.93
  6. Step 6: Final answer
    x = 2,224.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.