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Finding the Fourth Proportional to 1,692.52, 2,337.28 and 1,600.50

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Solution

The fourth proportional to 1,692.52, 2,337.28 and 1,600.50 is: 2,210.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.52 : 2,337.28 = 1,600.50 : x
  2. Step 2: Convert to fraction form
    1,692.52/2,337.28 = 1,600.50/x
  3. Step 3: Cross multiply
    1,692.52x = 2,337.28 × 1,600.50
  4. Step 4: Simplify right side
    1,692.52x = 3,740,816.64
  5. Step 5: Solve for x
    x = 3,740,816.64/1,692.52
  6. Step 6: Final answer
    x = 2,210.21

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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.