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Finding the Fourth Proportional to 2,316.34, 3,476.33 and 855.91

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Solution

The fourth proportional to 2,316.34, 3,476.33 and 855.91 is: 1,284.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.34 : 3,476.33 = 855.91 : x
  2. Step 2: Convert to fraction form
    2,316.34/3,476.33 = 855.91/x
  3. Step 3: Cross multiply
    2,316.34x = 3,476.33 × 855.91
  4. Step 4: Simplify right side
    2,316.34x = 2,975,419.06
  5. Step 5: Solve for x
    x = 2,975,419.06/2,316.34
  6. Step 6: Final answer
    x = 1,284.54

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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.