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Finding the Fourth Proportional to 2,079.27, 3,118.54 and 692.45

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Solution

The fourth proportional to 2,079.27, 3,118.54 and 692.45 is: 1,038.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.27 : 3,118.54 = 692.45 : x
  2. Step 2: Convert to fraction form
    2,079.27/3,118.54 = 692.45/x
  3. Step 3: Cross multiply
    2,079.27x = 3,118.54 × 692.45
  4. Step 4: Simplify right side
    2,079.27x = 2,159,417.43
  5. Step 5: Solve for x
    x = 2,159,417.43/2,079.27
  6. Step 6: Final answer
    x = 1,038.55

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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.