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Finding the Fourth Proportional to 1,690.69, 2,334.82 and 1,101.57

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Solution

The fourth proportional to 1,690.69, 2,334.82 and 1,101.57 is: 1,521.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.69 : 2,334.82 = 1,101.57 : x
  2. Step 2: Convert to fraction form
    1,690.69/2,334.82 = 1,101.57/x
  3. Step 3: Cross multiply
    1,690.69x = 2,334.82 × 1,101.57
  4. Step 4: Simplify right side
    1,690.69x = 2,571,967.67
  5. Step 5: Solve for x
    x = 2,571,967.67/1,690.69
  6. Step 6: Final answer
    x = 1,521.25

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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.