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Finding the Fourth Proportional to 2,465.84, 3,698.52 and 734.48

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Solution

The fourth proportional to 2,465.84, 3,698.52 and 734.48 is: 1,101.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.84 : 3,698.52 = 734.48 : x
  2. Step 2: Convert to fraction form
    2,465.84/3,698.52 = 734.48/x
  3. Step 3: Cross multiply
    2,465.84x = 3,698.52 × 734.48
  4. Step 4: Simplify right side
    2,465.84x = 2,716,488.97
  5. Step 5: Solve for x
    x = 2,716,488.97/2,465.84
  6. Step 6: Final answer
    x = 1,101.65

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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.