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Finding the Fourth Proportional to 1,344.87, 1,856.25 and 902.07

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Solution

The fourth proportional to 1,344.87, 1,856.25 and 902.07 is: 1,245.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.87 : 1,856.25 = 902.07 : x
  2. Step 2: Convert to fraction form
    1,344.87/1,856.25 = 902.07/x
  3. Step 3: Cross multiply
    1,344.87x = 1,856.25 × 902.07
  4. Step 4: Simplify right side
    1,344.87x = 1,674,467.44
  5. Step 5: Solve for x
    x = 1,674,467.44/1,344.87
  6. Step 6: Final answer
    x = 1,245.08

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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.