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Finding the Fourth Proportional to 2,097.90, 3,146.46 and 971.90

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Solution

The fourth proportional to 2,097.90, 3,146.46 and 971.90 is: 1,457.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.90 : 3,146.46 = 971.90 : x
  2. Step 2: Convert to fraction form
    2,097.90/3,146.46 = 971.90/x
  3. Step 3: Cross multiply
    2,097.90x = 3,146.46 × 971.90
  4. Step 4: Simplify right side
    2,097.90x = 3,058,044.47
  5. Step 5: Solve for x
    x = 3,058,044.47/2,097.90
  6. Step 6: Final answer
    x = 1,457.67

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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.