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Finding the Fourth Proportional to 1,395.43, 2,091.86 and 692.48

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Solution

The fourth proportional to 1,395.43, 2,091.86 and 692.48 is: 1,038.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.43 : 2,091.86 = 692.48 : x
  2. Step 2: Convert to fraction form
    1,395.43/2,091.86 = 692.48/x
  3. Step 3: Cross multiply
    1,395.43x = 2,091.86 × 692.48
  4. Step 4: Simplify right side
    1,395.43x = 1,448,575.58
  5. Step 5: Solve for x
    x = 1,448,575.58/1,395.43
  6. Step 6: Final answer
    x = 1,038.09

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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.