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Finding the Fourth Proportional to 2,611.86, 3,604.54 and 1,716.14

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Solution

The fourth proportional to 2,611.86, 3,604.54 and 1,716.14 is: 2,368.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.86 : 3,604.54 = 1,716.14 : x
  2. Step 2: Convert to fraction form
    2,611.86/3,604.54 = 1,716.14/x
  3. Step 3: Cross multiply
    2,611.86x = 3,604.54 × 1,716.14
  4. Step 4: Simplify right side
    2,611.86x = 6,185,895.28
  5. Step 5: Solve for x
    x = 6,185,895.28/2,611.86
  6. Step 6: Final answer
    x = 2,368.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.