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Finding the Fourth Proportional to 1,794.40, 2,692.14 and 972.46

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Solution

The fourth proportional to 1,794.40, 2,692.14 and 972.46 is: 1,458.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794.40 : 2,692.14 = 972.46 : x
  2. Step 2: Convert to fraction form
    1,794.40/2,692.14 = 972.46/x
  3. Step 3: Cross multiply
    1,794.40x = 2,692.14 × 972.46
  4. Step 4: Simplify right side
    1,794.40x = 2,617,998.46
  5. Step 5: Solve for x
    x = 2,617,998.46/1,794.40
  6. Step 6: Final answer
    x = 1,458.98

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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.