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Finding the Fourth Proportional to 1,514.84, 2,090.81 and 990.56

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Solution

The fourth proportional to 1,514.84, 2,090.81 and 990.56 is: 1,367.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.84 : 2,090.81 = 990.56 : x
  2. Step 2: Convert to fraction form
    1,514.84/2,090.81 = 990.56/x
  3. Step 3: Cross multiply
    1,514.84x = 2,090.81 × 990.56
  4. Step 4: Simplify right side
    1,514.84x = 2,071,080.46
  5. Step 5: Solve for x
    x = 2,071,080.46/1,514.84
  6. Step 6: Final answer
    x = 1,367.20

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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.