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Finding the Fourth Proportional to 1,839.72, 2,538.54 and 1,053.60

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Solution

The fourth proportional to 1,839.72, 2,538.54 and 1,053.60 is: 1,453.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,839.72 : 2,538.54 = 1,053.60 : x
  2. Step 2: Convert to fraction form
    1,839.72/2,538.54 = 1,053.60/x
  3. Step 3: Cross multiply
    1,839.72x = 2,538.54 × 1,053.60
  4. Step 4: Simplify right side
    1,839.72x = 2,674,605.74
  5. Step 5: Solve for x
    x = 2,674,605.74/1,839.72
  6. Step 6: Final answer
    x = 1,453.81

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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.