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Finding the Fourth Proportional to 1,692.37, 2,538.01 and 870.52

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Solution

The fourth proportional to 1,692.37, 2,538.01 and 870.52 is: 1,305.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.37 : 2,538.01 = 870.52 : x
  2. Step 2: Convert to fraction form
    1,692.37/2,538.01 = 870.52/x
  3. Step 3: Cross multiply
    1,692.37x = 2,538.01 × 870.52
  4. Step 4: Simplify right side
    1,692.37x = 2,209,392.66
  5. Step 5: Solve for x
    x = 2,209,392.66/1,692.37
  6. Step 6: Final answer
    x = 1,305.50

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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.