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Finding the Fourth Proportional to 1,696.70, 2,341.79 and 1,167.02

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Solution

The fourth proportional to 1,696.70, 2,341.79 and 1,167.02 is: 1,610.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.70 : 2,341.79 = 1,167.02 : x
  2. Step 2: Convert to fraction form
    1,696.70/2,341.79 = 1,167.02/x
  3. Step 3: Cross multiply
    1,696.70x = 2,341.79 × 1,167.02
  4. Step 4: Simplify right side
    1,696.70x = 2,732,915.77
  5. Step 5: Solve for x
    x = 2,732,915.77/1,696.70
  6. Step 6: Final answer
    x = 1,610.72

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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.