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Finding the Fourth Proportional to 2,465.55, 3,697.07 and 733.95

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Solution

The fourth proportional to 2,465.55, 3,697.07 and 733.95 is: 1,100.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.55 : 3,697.07 = 733.95 : x
  2. Step 2: Convert to fraction form
    2,465.55/3,697.07 = 733.95/x
  3. Step 3: Cross multiply
    2,465.55x = 3,697.07 × 733.95
  4. Step 4: Simplify right side
    2,465.55x = 2,713,460.86
  5. Step 5: Solve for x
    x = 2,713,460.86/2,465.55
  6. Step 6: Final answer
    x = 1,100.55

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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.