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Finding the Fourth Proportional to 2,692.53, 3,715.70 and 1,573.07

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Solution

The fourth proportional to 2,692.53, 3,715.70 and 1,573.07 is: 2,170.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.53 : 3,715.70 = 1,573.07 : x
  2. Step 2: Convert to fraction form
    2,692.53/3,715.70 = 1,573.07/x
  3. Step 3: Cross multiply
    2,692.53x = 3,715.70 × 1,573.07
  4. Step 4: Simplify right side
    2,692.53x = 5,845,029.76
  5. Step 5: Solve for x
    x = 5,845,029.76/2,692.53
  6. Step 6: Final answer
    x = 2,170.83

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1.5x scale

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.