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Finding the Fourth Proportional to 2,692.30, 3,715.04 and 1,558.16

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Solution

The fourth proportional to 2,692.30, 3,715.04 and 1,558.16 is: 2,150.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.30 : 3,715.04 = 1,558.16 : x
  2. Step 2: Convert to fraction form
    2,692.30/3,715.04 = 1,558.16/x
  3. Step 3: Cross multiply
    2,692.30x = 3,715.04 × 1,558.16
  4. Step 4: Simplify right side
    2,692.30x = 5,788,618.94
  5. Step 5: Solve for x
    x = 5,788,618.94/2,692.30
  6. Step 6: Final answer
    x = 2,150.07

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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.