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Finding the Fourth Proportional to 1,894.62, 2,844.57 and 970.81

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Solution

The fourth proportional to 1,894.62, 2,844.57 and 970.81 is: 1,457.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.62 : 2,844.57 = 970.81 : x
  2. Step 2: Convert to fraction form
    1,894.62/2,844.57 = 970.81/x
  3. Step 3: Cross multiply
    1,894.62x = 2,844.57 × 970.81
  4. Step 4: Simplify right side
    1,894.62x = 2,761,537.00
  5. Step 5: Solve for x
    x = 2,761,537.00/1,894.62
  6. Step 6: Final answer
    x = 1,457.57

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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.