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Finding the Fourth Proportional to 2,611.78, 3,604.23 and 1,416.76

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Solution

The fourth proportional to 2,611.78, 3,604.23 and 1,416.76 is: 1,955.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.78 : 3,604.23 = 1,416.76 : x
  2. Step 2: Convert to fraction form
    2,611.78/3,604.23 = 1,416.76/x
  3. Step 3: Cross multiply
    2,611.78x = 3,604.23 × 1,416.76
  4. Step 4: Simplify right side
    2,611.78x = 5,106,319.88
  5. Step 5: Solve for x
    x = 5,106,319.88/2,611.78
  6. Step 6: Final answer
    x = 1,955.11

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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.