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Finding the Fourth Proportional to 1,385.30, 2,076.22 and 692.16

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Solution

The fourth proportional to 1,385.30, 2,076.22 and 692.16 is: 1,037.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.30 : 2,076.22 = 692.16 : x
  2. Step 2: Convert to fraction form
    1,385.30/2,076.22 = 692.16/x
  3. Step 3: Cross multiply
    1,385.30x = 2,076.22 × 692.16
  4. Step 4: Simplify right side
    1,385.30x = 1,437,079.90
  5. Step 5: Solve for x
    x = 1,437,079.90/1,385.30
  6. Step 6: Final answer
    x = 1,037.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.