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Finding the Fourth Proportional to 1,290.80, 1,945.93 and 1,207.28

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Solution

The fourth proportional to 1,290.80, 1,945.93 and 1,207.28 is: 1,820.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.80 : 1,945.93 = 1,207.28 : x
  2. Step 2: Convert to fraction form
    1,290.80/1,945.93 = 1,207.28/x
  3. Step 3: Cross multiply
    1,290.80x = 1,945.93 × 1,207.28
  4. Step 4: Simplify right side
    1,290.80x = 2,349,284.22
  5. Step 5: Solve for x
    x = 2,349,284.22/1,290.80
  6. Step 6: Final answer
    x = 1,820.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.