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Finding the Fourth Proportional to 1,514.88, 2,090.52 and 917.40

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Solution

The fourth proportional to 1,514.88, 2,090.52 and 917.40 is: 1,266.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.88 : 2,090.52 = 917.40 : x
  2. Step 2: Convert to fraction form
    1,514.88/2,090.52 = 917.40/x
  3. Step 3: Cross multiply
    1,514.88x = 2,090.52 × 917.40
  4. Step 4: Simplify right side
    1,514.88x = 1,917,843.05
  5. Step 5: Solve for x
    x = 1,917,843.05/1,514.88
  6. Step 6: Final answer
    x = 1,266.00

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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.