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Finding the Fourth Proportional to 3,264.60, 4,895.76 and 1,184.08

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Solution

The fourth proportional to 3,264.60, 4,895.76 and 1,184.08 is: 1,775.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.60 : 4,895.76 = 1,184.08 : x
  2. Step 2: Convert to fraction form
    3,264.60/4,895.76 = 1,184.08/x
  3. Step 3: Cross multiply
    3,264.60x = 4,895.76 × 1,184.08
  4. Step 4: Simplify right side
    3,264.60x = 5,796,971.50
  5. Step 5: Solve for x
    x = 5,796,971.50/3,264.60
  6. Step 6: Final answer
    x = 1,775.71

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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.