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Finding the Fourth Proportional to 1,449.10, 2,173.63 and 353.47

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Solution

The fourth proportional to 1,449.10, 2,173.63 and 353.47 is: 530.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.10 : 2,173.63 = 353.47 : x
  2. Step 2: Convert to fraction form
    1,449.10/2,173.63 = 353.47/x
  3. Step 3: Cross multiply
    1,449.10x = 2,173.63 × 353.47
  4. Step 4: Simplify right side
    1,449.10x = 768,313.00
  5. Step 5: Solve for x
    x = 768,313.00/1,449.10
  6. Step 6: Final answer
    x = 530.20

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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.