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Finding the Fourth Proportional to 2,106.35, 3,157.18 and 788.84

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Solution

The fourth proportional to 2,106.35, 3,157.18 and 788.84 is: 1,182.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.35 : 3,157.18 = 788.84 : x
  2. Step 2: Convert to fraction form
    2,106.35/3,157.18 = 788.84/x
  3. Step 3: Cross multiply
    2,106.35x = 3,157.18 × 788.84
  4. Step 4: Simplify right side
    2,106.35x = 2,490,503.95
  5. Step 5: Solve for x
    x = 2,490,503.95/2,106.35
  6. Step 6: Final answer
    x = 1,182.38

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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.