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Finding the Fourth Proportional to 1,896.40, 2,844.62 and 580.35

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Solution

The fourth proportional to 1,896.40, 2,844.62 and 580.35 is: 870.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.40 : 2,844.62 = 580.35 : x
  2. Step 2: Convert to fraction form
    1,896.40/2,844.62 = 580.35/x
  3. Step 3: Cross multiply
    1,896.40x = 2,844.62 × 580.35
  4. Step 4: Simplify right side
    1,896.40x = 1,650,881.16
  5. Step 5: Solve for x
    x = 1,650,881.16/1,896.40
  6. Step 6: Final answer
    x = 870.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.