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Finding the Fourth Proportional to 3,074.61, 4,611.84 and 883.35

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Solution

The fourth proportional to 3,074.61, 4,611.84 and 883.35 is: 1,325.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.61 : 4,611.84 = 883.35 : x
  2. Step 2: Convert to fraction form
    3,074.61/4,611.84 = 883.35/x
  3. Step 3: Cross multiply
    3,074.61x = 4,611.84 × 883.35
  4. Step 4: Simplify right side
    3,074.61x = 4,073,868.86
  5. Step 5: Solve for x
    x = 4,073,868.86/3,074.61
  6. Step 6: Final answer
    x = 1,325.00

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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.