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Finding the Fourth Proportional to 4,608.78, 6,911.75 and 1,320.99

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Solution

The fourth proportional to 4,608.78, 6,911.75 and 1,320.99 is: 1,981.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,608.78 : 6,911.75 = 1,320.99 : x
  2. Step 2: Convert to fraction form
    4,608.78/6,911.75 = 1,320.99/x
  3. Step 3: Cross multiply
    4,608.78x = 6,911.75 × 1,320.99
  4. Step 4: Simplify right side
    4,608.78x = 9,130,346.03
  5. Step 5: Solve for x
    x = 9,130,346.03/4,608.78
  6. Step 6: Final answer
    x = 1,981.08

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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.