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Finding the Fourth Proportional to 1,692.19, 2,537.83 and 652.05

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Solution

The fourth proportional to 1,692.19, 2,537.83 and 652.05 is: 977.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.19 : 2,537.83 = 652.05 : x
  2. Step 2: Convert to fraction form
    1,692.19/2,537.83 = 652.05/x
  3. Step 3: Cross multiply
    1,692.19x = 2,537.83 × 652.05
  4. Step 4: Simplify right side
    1,692.19x = 1,654,792.87
  5. Step 5: Solve for x
    x = 1,654,792.87/1,692.19
  6. Step 6: Final answer
    x = 977.90

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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.