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Finding the Fourth Proportional to 2,148, 2,964.42 and 1,361.76

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Solution

The fourth proportional to 2,148, 2,964.42 and 1,361.76 is: 1,879.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148 : 2,964.42 = 1,361.76 : x
  2. Step 2: Convert to fraction form
    2,148/2,964.42 = 1,361.76/x
  3. Step 3: Cross multiply
    2,148x = 2,964.42 × 1,361.76
  4. Step 4: Simplify right side
    2,148x = 4,036,828.58
  5. Step 5: Solve for x
    x = 4,036,828.58/2,148
  6. Step 6: Final answer
    x = 1,879.34

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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.