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Finding the Fourth Proportional to 1,827.84, 2,520.24 and 1,514.40

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Solution

The fourth proportional to 1,827.84, 2,520.24 and 1,514.40 is: 2,088.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.84 : 2,520.24 = 1,514.40 : x
  2. Step 2: Convert to fraction form
    1,827.84/2,520.24 = 1,514.40/x
  3. Step 3: Cross multiply
    1,827.84x = 2,520.24 × 1,514.40
  4. Step 4: Simplify right side
    1,827.84x = 3,816,651.46
  5. Step 5: Solve for x
    x = 3,816,651.46/1,827.84
  6. Step 6: Final answer
    x = 2,088.07

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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.