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Finding the Fourth Proportional to 2,465.93, 3,699.50 and 734.55

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Solution

The fourth proportional to 2,465.93, 3,699.50 and 734.55 is: 1,102.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.93 : 3,699.50 = 734.55 : x
  2. Step 2: Convert to fraction form
    2,465.93/3,699.50 = 734.55/x
  3. Step 3: Cross multiply
    2,465.93x = 3,699.50 × 734.55
  4. Step 4: Simplify right side
    2,465.93x = 2,717,464.05
  5. Step 5: Solve for x
    x = 2,717,464.05/2,465.93
  6. Step 6: Final answer
    x = 1,102.01

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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.