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Finding the Fourth Proportional to 3,242.94, 4,864.47 and 1,051.66

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Solution

The fourth proportional to 3,242.94, 4,864.47 and 1,051.66 is: 1,577.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.94 : 4,864.47 = 1,051.66 : x
  2. Step 2: Convert to fraction form
    3,242.94/4,864.47 = 1,051.66/x
  3. Step 3: Cross multiply
    3,242.94x = 4,864.47 × 1,051.66
  4. Step 4: Simplify right side
    3,242.94x = 5,115,768.52
  5. Step 5: Solve for x
    x = 5,115,768.52/3,242.94
  6. Step 6: Final answer
    x = 1,577.51

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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.