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Finding the Fourth Proportional to 1,696.86, 2,342.25 and 1,303.38

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Solution

The fourth proportional to 1,696.86, 2,342.25 and 1,303.38 is: 1,799.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.86 : 2,342.25 = 1,303.38 : x
  2. Step 2: Convert to fraction form
    1,696.86/2,342.25 = 1,303.38/x
  3. Step 3: Cross multiply
    1,696.86x = 2,342.25 × 1,303.38
  4. Step 4: Simplify right side
    1,696.86x = 3,052,841.81
  5. Step 5: Solve for x
    x = 3,052,841.81/1,696.86
  6. Step 6: Final answer
    x = 1,799.11

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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.