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Finding the Fourth Proportional to 1,343.40, 1,852.89 and 971.61

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Solution

The fourth proportional to 1,343.40, 1,852.89 and 971.61 is: 1,340.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.40 : 1,852.89 = 971.61 : x
  2. Step 2: Convert to fraction form
    1,343.40/1,852.89 = 971.61/x
  3. Step 3: Cross multiply
    1,343.40x = 1,852.89 × 971.61
  4. Step 4: Simplify right side
    1,343.40x = 1,800,286.45
  5. Step 5: Solve for x
    x = 1,800,286.45/1,343.40
  6. Step 6: Final answer
    x = 1,340.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.