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Finding the Fourth Proportional to 1,515.86, 2,090.48 and 984.18

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Solution

The fourth proportional to 1,515.86, 2,090.48 and 984.18 is: 1,357.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.86 : 2,090.48 = 984.18 : x
  2. Step 2: Convert to fraction form
    1,515.86/2,090.48 = 984.18/x
  3. Step 3: Cross multiply
    1,515.86x = 2,090.48 × 984.18
  4. Step 4: Simplify right side
    1,515.86x = 2,057,403.69
  5. Step 5: Solve for x
    x = 2,057,403.69/1,515.86
  6. Step 6: Final answer
    x = 1,357.26

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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.