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Finding the Fourth Proportional to 1,474.09, 2,210.56 and 549.43

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Solution

The fourth proportional to 1,474.09, 2,210.56 and 549.43 is: 823.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.09 : 2,210.56 = 549.43 : x
  2. Step 2: Convert to fraction form
    1,474.09/2,210.56 = 549.43/x
  3. Step 3: Cross multiply
    1,474.09x = 2,210.56 × 549.43
  4. Step 4: Simplify right side
    1,474.09x = 1,214,541.08
  5. Step 5: Solve for x
    x = 1,214,541.08/1,474.09
  6. Step 6: Final answer
    x = 823.93

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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.