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Finding the Fourth Proportional to 2,981.65, 4,473.74 and 1,594.63

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Solution

The fourth proportional to 2,981.65, 4,473.74 and 1,594.63 is: 2,392.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.65 : 4,473.74 = 1,594.63 : x
  2. Step 2: Convert to fraction form
    2,981.65/4,473.74 = 1,594.63/x
  3. Step 3: Cross multiply
    2,981.65x = 4,473.74 × 1,594.63
  4. Step 4: Simplify right side
    2,981.65x = 7,133,937.65
  5. Step 5: Solve for x
    x = 7,133,937.65/2,981.65
  6. Step 6: Final answer
    x = 2,392.61

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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.