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Finding the Fourth Proportional to 4,303.74, 6,453.49 and 1,530.03

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Solution

The fourth proportional to 4,303.74, 6,453.49 and 1,530.03 is: 2,294.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,303.74 : 6,453.49 = 1,530.03 : x
  2. Step 2: Convert to fraction form
    4,303.74/6,453.49 = 1,530.03/x
  3. Step 3: Cross multiply
    4,303.74x = 6,453.49 × 1,530.03
  4. Step 4: Simplify right side
    4,303.74x = 9,874,033.30
  5. Step 5: Solve for x
    x = 9,874,033.30/4,303.74
  6. Step 6: Final answer
    x = 2,294.29

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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.