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Finding the Fourth Proportional to 3,160.50, 4,742.01 and 1,599.66

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Solution

The fourth proportional to 3,160.50, 4,742.01 and 1,599.66 is: 2,400.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.50 : 4,742.01 = 1,599.66 : x
  2. Step 2: Convert to fraction form
    3,160.50/4,742.01 = 1,599.66/x
  3. Step 3: Cross multiply
    3,160.50x = 4,742.01 × 1,599.66
  4. Step 4: Simplify right side
    3,160.50x = 7,585,603.72
  5. Step 5: Solve for x
    x = 7,585,603.72/3,160.50
  6. Step 6: Final answer
    x = 2,400.13

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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.