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Finding the Fourth Proportional to 1,909.75, 2,635.36 and 1,070.49

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Solution

The fourth proportional to 1,909.75, 2,635.36 and 1,070.49 is: 1,477.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.75 : 2,635.36 = 1,070.49 : x
  2. Step 2: Convert to fraction form
    1,909.75/2,635.36 = 1,070.49/x
  3. Step 3: Cross multiply
    1,909.75x = 2,635.36 × 1,070.49
  4. Step 4: Simplify right side
    1,909.75x = 2,821,126.53
  5. Step 5: Solve for x
    x = 2,821,126.53/1,909.75
  6. Step 6: Final answer
    x = 1,477.22

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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.