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Finding the Fourth Proportional to 1,771.20, 2,656.35 and 730.35

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Solution

The fourth proportional to 1,771.20, 2,656.35 and 730.35 is: 1,095.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.20 : 2,656.35 = 730.35 : x
  2. Step 2: Convert to fraction form
    1,771.20/2,656.35 = 730.35/x
  3. Step 3: Cross multiply
    1,771.20x = 2,656.35 × 730.35
  4. Step 4: Simplify right side
    1,771.20x = 1,940,065.22
  5. Step 5: Solve for x
    x = 1,940,065.22/1,771.20
  6. Step 6: Final answer
    x = 1,095.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.