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Finding the Fourth Proportional to 1,350.17, 2,026.16 and 985.82

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Solution

The fourth proportional to 1,350.17, 2,026.16 and 985.82 is: 1,479.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.17 : 2,026.16 = 985.82 : x
  2. Step 2: Convert to fraction form
    1,350.17/2,026.16 = 985.82/x
  3. Step 3: Cross multiply
    1,350.17x = 2,026.16 × 985.82
  4. Step 4: Simplify right side
    1,350.17x = 1,997,434.63
  5. Step 5: Solve for x
    x = 1,997,434.63/1,350.17
  6. Step 6: Final answer
    x = 1,479.40

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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.