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Finding the Fourth Proportional to 1,452.08, 2,004.44 and 980.25

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Solution

The fourth proportional to 1,452.08, 2,004.44 and 980.25 is: 1,353.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.08 : 2,004.44 = 980.25 : x
  2. Step 2: Convert to fraction form
    1,452.08/2,004.44 = 980.25/x
  3. Step 3: Cross multiply
    1,452.08x = 2,004.44 × 980.25
  4. Step 4: Simplify right side
    1,452.08x = 1,964,852.31
  5. Step 5: Solve for x
    x = 1,964,852.31/1,452.08
  6. Step 6: Final answer
    x = 1,353.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.