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Finding the Fourth Proportional to 3,153.02, 4,351.50 and 1,737

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Solution

The fourth proportional to 3,153.02, 4,351.50 and 1,737 is: 2,397.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.02 : 4,351.50 = 1,737 : x
  2. Step 2: Convert to fraction form
    3,153.02/4,351.50 = 1,737/x
  3. Step 3: Cross multiply
    3,153.02x = 4,351.50 × 1,737
  4. Step 4: Simplify right side
    3,153.02x = 7,558,555.50
  5. Step 5: Solve for x
    x = 7,558,555.50/3,153.02
  6. Step 6: Final answer
    x = 2,397.25

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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.