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Finding the Fourth Proportional to 2,751.63, 4,128.05 and 1,020.25

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Solution

The fourth proportional to 2,751.63, 4,128.05 and 1,020.25 is: 1,530.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.63 : 4,128.05 = 1,020.25 : x
  2. Step 2: Convert to fraction form
    2,751.63/4,128.05 = 1,020.25/x
  3. Step 3: Cross multiply
    2,751.63x = 4,128.05 × 1,020.25
  4. Step 4: Simplify right side
    2,751.63x = 4,211,643.01
  5. Step 5: Solve for x
    x = 4,211,643.01/2,751.63
  6. Step 6: Final answer
    x = 1,530.60

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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.