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Finding the Fourth Proportional to 1,349.97, 2,026.15 and 692.30

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Solution

The fourth proportional to 1,349.97, 2,026.15 and 692.30 is: 1,039.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.97 : 2,026.15 = 692.30 : x
  2. Step 2: Convert to fraction form
    1,349.97/2,026.15 = 692.30/x
  3. Step 3: Cross multiply
    1,349.97x = 2,026.15 × 692.30
  4. Step 4: Simplify right side
    1,349.97x = 1,402,695.58
  5. Step 5: Solve for x
    x = 1,402,695.58/1,349.97
  6. Step 6: Final answer
    x = 1,039.06

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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.