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Finding the Fourth Proportional to 1,483.53, 2,224.38 and 753.62

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Solution

The fourth proportional to 1,483.53, 2,224.38 and 753.62 is: 1,129.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.53 : 2,224.38 = 753.62 : x
  2. Step 2: Convert to fraction form
    1,483.53/2,224.38 = 753.62/x
  3. Step 3: Cross multiply
    1,483.53x = 2,224.38 × 753.62
  4. Step 4: Simplify right side
    1,483.53x = 1,676,326.13
  5. Step 5: Solve for x
    x = 1,676,326.13/1,483.53
  6. Step 6: Final answer
    x = 1,129.96

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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.