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Finding the Fourth Proportional to 2,381.88, 3,574.50 and 1,065.96

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Solution

The fourth proportional to 2,381.88, 3,574.50 and 1,065.96 is: 1,599.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.88 : 3,574.50 = 1,065.96 : x
  2. Step 2: Convert to fraction form
    2,381.88/3,574.50 = 1,065.96/x
  3. Step 3: Cross multiply
    2,381.88x = 3,574.50 × 1,065.96
  4. Step 4: Simplify right side
    2,381.88x = 3,810,274.02
  5. Step 5: Solve for x
    x = 3,810,274.02/2,381.88
  6. Step 6: Final answer
    x = 1,599.69

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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.