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Finding the Fourth Proportional to 3,094.45, 4,641.76 and 785.95

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Solution

The fourth proportional to 3,094.45, 4,641.76 and 785.95 is: 1,178.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.45 : 4,641.76 = 785.95 : x
  2. Step 2: Convert to fraction form
    3,094.45/4,641.76 = 785.95/x
  3. Step 3: Cross multiply
    3,094.45x = 4,641.76 × 785.95
  4. Step 4: Simplify right side
    3,094.45x = 3,648,202.34
  5. Step 5: Solve for x
    x = 3,648,202.34/3,094.45
  6. Step 6: Final answer
    x = 1,178.95

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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.