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Finding the Fourth Proportional to 1,514.75, 2,088.09 and 924.89

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Solution

The fourth proportional to 1,514.75, 2,088.09 and 924.89 is: 1,274.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.75 : 2,088.09 = 924.89 : x
  2. Step 2: Convert to fraction form
    1,514.75/2,088.09 = 924.89/x
  3. Step 3: Cross multiply
    1,514.75x = 2,088.09 × 924.89
  4. Step 4: Simplify right side
    1,514.75x = 1,931,243.12
  5. Step 5: Solve for x
    x = 1,931,243.12/1,514.75
  6. Step 6: Final answer
    x = 1,274.96

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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.