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Finding the Fourth Proportional to 1,808.02, 2,495.07 and 980.02

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Solution

The fourth proportional to 1,808.02, 2,495.07 and 980.02 is: 1,352.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.02 : 2,495.07 = 980.02 : x
  2. Step 2: Convert to fraction form
    1,808.02/2,495.07 = 980.02/x
  3. Step 3: Cross multiply
    1,808.02x = 2,495.07 × 980.02
  4. Step 4: Simplify right side
    1,808.02x = 2,445,218.50
  5. Step 5: Solve for x
    x = 2,445,218.50/1,808.02
  6. Step 6: Final answer
    x = 1,352.43

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Why These Related Problems?

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