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Finding the Fourth Proportional to 1,363.71, 2,045.55 and 1,297.30

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Solution

The fourth proportional to 1,363.71, 2,045.55 and 1,297.30 is: 1,945.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.71 : 2,045.55 = 1,297.30 : x
  2. Step 2: Convert to fraction form
    1,363.71/2,045.55 = 1,297.30/x
  3. Step 3: Cross multiply
    1,363.71x = 2,045.55 × 1,297.30
  4. Step 4: Simplify right side
    1,363.71x = 2,653,692.02
  5. Step 5: Solve for x
    x = 2,653,692.02/1,363.71
  6. Step 6: Final answer
    x = 1,945.94

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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.