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Finding the Fourth Proportional to 2,102.93, 3,152.39 and 786.32

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Solution

The fourth proportional to 2,102.93, 3,152.39 and 786.32 is: 1,178.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.93 : 3,152.39 = 786.32 : x
  2. Step 2: Convert to fraction form
    2,102.93/3,152.39 = 786.32/x
  3. Step 3: Cross multiply
    2,102.93x = 3,152.39 × 786.32
  4. Step 4: Simplify right side
    2,102.93x = 2,478,797.16
  5. Step 5: Solve for x
    x = 2,478,797.16/2,102.93
  6. Step 6: Final answer
    x = 1,178.74

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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.