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Finding the Fourth Proportional to 1,514.91, 2,088.63 and 982.87

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Solution

The fourth proportional to 1,514.91, 2,088.63 and 982.87 is: 1,355.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.91 : 2,088.63 = 982.87 : x
  2. Step 2: Convert to fraction form
    1,514.91/2,088.63 = 982.87/x
  3. Step 3: Cross multiply
    1,514.91x = 2,088.63 × 982.87
  4. Step 4: Simplify right side
    1,514.91x = 2,052,846.55
  5. Step 5: Solve for x
    x = 2,052,846.55/1,514.91
  6. Step 6: Final answer
    x = 1,355.09

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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.