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Finding the Fourth Proportional to 1,514.06, 2,089.49 and 924.78

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Solution

The fourth proportional to 1,514.06, 2,089.49 and 924.78 is: 1,276.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.06 : 2,089.49 = 924.78 : x
  2. Step 2: Convert to fraction form
    1,514.06/2,089.49 = 924.78/x
  3. Step 3: Cross multiply
    1,514.06x = 2,089.49 × 924.78
  4. Step 4: Simplify right side
    1,514.06x = 1,932,313.94
  5. Step 5: Solve for x
    x = 1,932,313.94/1,514.06
  6. Step 6: Final answer
    x = 1,276.25

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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.