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Finding the Fourth Proportional to 1,474.18, 2,210.64 and 549.80

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Solution

The fourth proportional to 1,474.18, 2,210.64 and 549.80 is: 824.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.18 : 2,210.64 = 549.80 : x
  2. Step 2: Convert to fraction form
    1,474.18/2,210.64 = 549.80/x
  3. Step 3: Cross multiply
    1,474.18x = 2,210.64 × 549.80
  4. Step 4: Simplify right side
    1,474.18x = 1,215,409.87
  5. Step 5: Solve for x
    x = 1,215,409.87/1,474.18
  6. Step 6: Final answer
    x = 824.47

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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.