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Finding the Fourth Proportional to 1,514.87, 2,090.83 and 983.01

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Solution

The fourth proportional to 1,514.87, 2,090.83 and 983.01 is: 1,356.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.87 : 2,090.83 = 983.01 : x
  2. Step 2: Convert to fraction form
    1,514.87/2,090.83 = 983.01/x
  3. Step 3: Cross multiply
    1,514.87x = 2,090.83 × 983.01
  4. Step 4: Simplify right side
    1,514.87x = 2,055,300.58
  5. Step 5: Solve for x
    x = 2,055,300.58/1,514.87
  6. Step 6: Final answer
    x = 1,356.75

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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.