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Finding the Fourth Proportional to 4,114.93, 6,164.62 and 2,032.50

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Solution

The fourth proportional to 4,114.93, 6,164.62 and 2,032.50 is: 3,044.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.93 : 6,164.62 = 2,032.50 : x
  2. Step 2: Convert to fraction form
    4,114.93/6,164.62 = 2,032.50/x
  3. Step 3: Cross multiply
    4,114.93x = 6,164.62 × 2,032.50
  4. Step 4: Simplify right side
    4,114.93x = 12,529,585.07
  5. Step 5: Solve for x
    x = 12,529,585.07/4,114.93
  6. Step 6: Final answer
    x = 3,044.91

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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.