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Finding the Fourth Proportional to 1,894.65, 2,842.31 and 661.69

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Solution

The fourth proportional to 1,894.65, 2,842.31 and 661.69 is: 992.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.65 : 2,842.31 = 661.69 : x
  2. Step 2: Convert to fraction form
    1,894.65/2,842.31 = 661.69/x
  3. Step 3: Cross multiply
    1,894.65x = 2,842.31 × 661.69
  4. Step 4: Simplify right side
    1,894.65x = 1,880,728.10
  5. Step 5: Solve for x
    x = 1,880,728.10/1,894.65
  6. Step 6: Final answer
    x = 992.65

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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.