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Finding the Fourth Proportional to 1,715.25, 2,367.05 and 929.30

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Solution

The fourth proportional to 1,715.25, 2,367.05 and 929.30 is: 1,282.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.25 : 2,367.05 = 929.30 : x
  2. Step 2: Convert to fraction form
    1,715.25/2,367.05 = 929.30/x
  3. Step 3: Cross multiply
    1,715.25x = 2,367.05 × 929.30
  4. Step 4: Simplify right side
    1,715.25x = 2,199,692.35
  5. Step 5: Solve for x
    x = 2,199,692.35/1,715.25
  6. Step 6: Final answer
    x = 1,282.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.