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Finding the Fourth Proportional to 2,079.17, 3,117.96 and 692.24

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Solution

The fourth proportional to 2,079.17, 3,117.96 and 692.24 is: 1,038.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.17 : 3,117.96 = 692.24 : x
  2. Step 2: Convert to fraction form
    2,079.17/3,117.96 = 692.24/x
  3. Step 3: Cross multiply
    2,079.17x = 3,117.96 × 692.24
  4. Step 4: Simplify right side
    2,079.17x = 2,158,376.63
  5. Step 5: Solve for x
    x = 2,158,376.63/2,079.17
  6. Step 6: Final answer
    x = 1,038.10

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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.