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Finding the Fourth Proportional to 2,726.85, 4,090.50 and 971.67

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Solution

The fourth proportional to 2,726.85, 4,090.50 and 971.67 is: 1,457.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.85 : 4,090.50 = 971.67 : x
  2. Step 2: Convert to fraction form
    2,726.85/4,090.50 = 971.67/x
  3. Step 3: Cross multiply
    2,726.85x = 4,090.50 × 971.67
  4. Step 4: Simplify right side
    2,726.85x = 3,974,616.14
  5. Step 5: Solve for x
    x = 3,974,616.14/2,726.85
  6. Step 6: Final answer
    x = 1,457.59

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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.