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Finding the Fourth Proportional to 1,406.54, 2,109.61 and 366.45

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Solution

The fourth proportional to 1,406.54, 2,109.61 and 366.45 is: 549.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.54 : 2,109.61 = 366.45 : x
  2. Step 2: Convert to fraction form
    1,406.54/2,109.61 = 366.45/x
  3. Step 3: Cross multiply
    1,406.54x = 2,109.61 × 366.45
  4. Step 4: Simplify right side
    1,406.54x = 773,073.72
  5. Step 5: Solve for x
    x = 773,073.72/1,406.54
  6. Step 6: Final answer
    x = 549.63

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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.