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Finding the Fourth Proportional to 1,696.57, 2,339.97 and 1,460.93

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Solution

The fourth proportional to 1,696.57, 2,339.97 and 1,460.93 is: 2,014.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.57 : 2,339.97 = 1,460.93 : x
  2. Step 2: Convert to fraction form
    1,696.57/2,339.97 = 1,460.93/x
  3. Step 3: Cross multiply
    1,696.57x = 2,339.97 × 1,460.93
  4. Step 4: Simplify right side
    1,696.57x = 3,418,513.37
  5. Step 5: Solve for x
    x = 3,418,513.37/1,696.57
  6. Step 6: Final answer
    x = 2,014.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.