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Finding the Fourth Proportional to 1,692.76, 2,337.82 and 1,509.52

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Solution

The fourth proportional to 1,692.76, 2,337.82 and 1,509.52 is: 2,084.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.76 : 2,337.82 = 1,509.52 : x
  2. Step 2: Convert to fraction form
    1,692.76/2,337.82 = 1,509.52/x
  3. Step 3: Cross multiply
    1,692.76x = 2,337.82 × 1,509.52
  4. Step 4: Simplify right side
    1,692.76x = 3,528,986.05
  5. Step 5: Solve for x
    x = 3,528,986.05/1,692.76
  6. Step 6: Final answer
    x = 2,084.75

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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.