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Finding the Fourth Proportional to 2,898.84, 4,350.09 and 1,514.66

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Solution

The fourth proportional to 2,898.84, 4,350.09 and 1,514.66 is: 2,272.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.84 : 4,350.09 = 1,514.66 : x
  2. Step 2: Convert to fraction form
    2,898.84/4,350.09 = 1,514.66/x
  3. Step 3: Cross multiply
    2,898.84x = 4,350.09 × 1,514.66
  4. Step 4: Simplify right side
    2,898.84x = 6,588,885.57
  5. Step 5: Solve for x
    x = 6,588,885.57/2,898.84
  6. Step 6: Final answer
    x = 2,272.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.