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Finding the Fourth Proportional to 2,664, 3,678.57 and 1,670.94

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Solution

The fourth proportional to 2,664, 3,678.57 and 1,670.94 is: 2,307.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664 : 3,678.57 = 1,670.94 : x
  2. Step 2: Convert to fraction form
    2,664/3,678.57 = 1,670.94/x
  3. Step 3: Cross multiply
    2,664x = 3,678.57 × 1,670.94
  4. Step 4: Simplify right side
    2,664x = 6,146,669.76
  5. Step 5: Solve for x
    x = 6,146,669.76/2,664
  6. Step 6: Final answer
    x = 2,307.31

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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.