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Finding the Fourth Proportional to 3,191.13, 4,784.06 and 1,410.93

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Solution

The fourth proportional to 3,191.13, 4,784.06 and 1,410.93 is: 2,115.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.13 : 4,784.06 = 1,410.93 : x
  2. Step 2: Convert to fraction form
    3,191.13/4,784.06 = 1,410.93/x
  3. Step 3: Cross multiply
    3,191.13x = 4,784.06 × 1,410.93
  4. Step 4: Simplify right side
    3,191.13x = 6,749,966.72
  5. Step 5: Solve for x
    x = 6,749,966.72/3,191.13
  6. Step 6: Final answer
    x = 2,115.23

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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.