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Finding the Fourth Proportional to 2,476.51, 3,713.89 and 721.04

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Solution

The fourth proportional to 2,476.51, 3,713.89 and 721.04 is: 1,081.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.51 : 3,713.89 = 721.04 : x
  2. Step 2: Convert to fraction form
    2,476.51/3,713.89 = 721.04/x
  3. Step 3: Cross multiply
    2,476.51x = 3,713.89 × 721.04
  4. Step 4: Simplify right side
    2,476.51x = 2,677,841.07
  5. Step 5: Solve for x
    x = 2,677,841.07/2,476.51
  6. Step 6: Final answer
    x = 1,081.30

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Why These Related Problems?

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