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Finding the Fourth Proportional to 1,696.69, 2,342.14 and 1,033.77

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Solution

The fourth proportional to 1,696.69, 2,342.14 and 1,033.77 is: 1,427.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.69 : 2,342.14 = 1,033.77 : x
  2. Step 2: Convert to fraction form
    1,696.69/2,342.14 = 1,033.77/x
  3. Step 3: Cross multiply
    1,696.69x = 2,342.14 × 1,033.77
  4. Step 4: Simplify right side
    1,696.69x = 2,421,234.07
  5. Step 5: Solve for x
    x = 2,421,234.07/1,696.69
  6. Step 6: Final answer
    x = 1,427.03

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1.5x scale

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.