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Finding the Fourth Proportional to 1,953.13, 2,692.29 and 1,454.98

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Solution

The fourth proportional to 1,953.13, 2,692.29 and 1,454.98 is: 2,005.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.13 : 2,692.29 = 1,454.98 : x
  2. Step 2: Convert to fraction form
    1,953.13/2,692.29 = 1,454.98/x
  3. Step 3: Cross multiply
    1,953.13x = 2,692.29 × 1,454.98
  4. Step 4: Simplify right side
    1,953.13x = 3,917,228.10
  5. Step 5: Solve for x
    x = 3,917,228.10/1,953.13
  6. Step 6: Final answer
    x = 2,005.62

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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.