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Finding the Fourth Proportional to 2,541.04, 3,811.56 and 692.17

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Solution

The fourth proportional to 2,541.04, 3,811.56 and 692.17 is: 1,038.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.04 : 3,811.56 = 692.17 : x
  2. Step 2: Convert to fraction form
    2,541.04/3,811.56 = 692.17/x
  3. Step 3: Cross multiply
    2,541.04x = 3,811.56 × 692.17
  4. Step 4: Simplify right side
    2,541.04x = 2,638,237.96
  5. Step 5: Solve for x
    x = 2,638,237.96/2,541.04
  6. Step 6: Final answer
    x = 1,038.25

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Similar ratio
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.