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Finding the Fourth Proportional to 1,696.90, 2,339.82 and 1,066.66

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Solution

The fourth proportional to 1,696.90, 2,339.82 and 1,066.66 is: 1,470.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.90 : 2,339.82 = 1,066.66 : x
  2. Step 2: Convert to fraction form
    1,696.90/2,339.82 = 1,066.66/x
  3. Step 3: Cross multiply
    1,696.90x = 2,339.82 × 1,066.66
  4. Step 4: Simplify right side
    1,696.90x = 2,495,787.76
  5. Step 5: Solve for x
    x = 2,495,787.76/1,696.90
  6. Step 6: Final answer
    x = 1,470.79

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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.