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Finding the Fourth Proportional to 1,422.06, 2,133.15 and 692.25

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Solution

The fourth proportional to 1,422.06, 2,133.15 and 692.25 is: 1,038.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.06 : 2,133.15 = 692.25 : x
  2. Step 2: Convert to fraction form
    1,422.06/2,133.15 = 692.25/x
  3. Step 3: Cross multiply
    1,422.06x = 2,133.15 × 692.25
  4. Step 4: Simplify right side
    1,422.06x = 1,476,673.09
  5. Step 5: Solve for x
    x = 1,476,673.09/1,422.06
  6. Step 6: Final answer
    x = 1,038.40

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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.