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Finding the Fourth Proportional to 1,910.06, 2,864.10 and 985.40

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Solution

The fourth proportional to 1,910.06, 2,864.10 and 985.40 is: 1,477.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,910.06 : 2,864.10 = 985.40 : x
  2. Step 2: Convert to fraction form
    1,910.06/2,864.10 = 985.40/x
  3. Step 3: Cross multiply
    1,910.06x = 2,864.10 × 985.40
  4. Step 4: Simplify right side
    1,910.06x = 2,822,284.14
  5. Step 5: Solve for x
    x = 2,822,284.14/1,910.06
  6. Step 6: Final answer
    x = 1,477.59

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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.