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Finding the Fourth Proportional to 1,645.30, 2,468.08 and 549.67

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Solution

The fourth proportional to 1,645.30, 2,468.08 and 549.67 is: 824.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.30 : 2,468.08 = 549.67 : x
  2. Step 2: Convert to fraction form
    1,645.30/2,468.08 = 549.67/x
  3. Step 3: Cross multiply
    1,645.30x = 2,468.08 × 549.67
  4. Step 4: Simplify right side
    1,645.30x = 1,356,629.53
  5. Step 5: Solve for x
    x = 1,356,629.53/1,645.30
  6. Step 6: Final answer
    x = 824.55

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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.