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Finding the Fourth Proportional to 1,338.35, 1,848.43 and 1,130.28

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Solution

The fourth proportional to 1,338.35, 1,848.43 and 1,130.28 is: 1,561.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.35 : 1,848.43 = 1,130.28 : x
  2. Step 2: Convert to fraction form
    1,338.35/1,848.43 = 1,130.28/x
  3. Step 3: Cross multiply
    1,338.35x = 1,848.43 × 1,130.28
  4. Step 4: Simplify right side
    1,338.35x = 2,089,244.73
  5. Step 5: Solve for x
    x = 2,089,244.73/1,338.35
  6. Step 6: Final answer
    x = 1,561.06

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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.