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Finding the Fourth Proportional to 1,427.35, 1,969.41 and 1,074.13

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Solution

The fourth proportional to 1,427.35, 1,969.41 and 1,074.13 is: 1,482.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.35 : 1,969.41 = 1,074.13 : x
  2. Step 2: Convert to fraction form
    1,427.35/1,969.41 = 1,074.13/x
  3. Step 3: Cross multiply
    1,427.35x = 1,969.41 × 1,074.13
  4. Step 4: Simplify right side
    1,427.35x = 2,115,402.36
  5. Step 5: Solve for x
    x = 2,115,402.36/1,427.35
  6. Step 6: Final answer
    x = 1,482.05

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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.