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Finding the Fourth Proportional to 2,476.39, 3,713.73 and 916.06

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Solution

The fourth proportional to 2,476.39, 3,713.73 and 916.06 is: 1,373.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.39 : 3,713.73 = 916.06 : x
  2. Step 2: Convert to fraction form
    2,476.39/3,713.73 = 916.06/x
  3. Step 3: Cross multiply
    2,476.39x = 3,713.73 × 916.06
  4. Step 4: Simplify right side
    2,476.39x = 3,401,999.50
  5. Step 5: Solve for x
    x = 3,401,999.50/2,476.39
  6. Step 6: Final answer
    x = 1,373.77

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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.