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Finding the Fourth Proportional to 1,437.78, 1,984.98 and 1,105.56

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Solution

The fourth proportional to 1,437.78, 1,984.98 and 1,105.56 is: 1,526.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.78 : 1,984.98 = 1,105.56 : x
  2. Step 2: Convert to fraction form
    1,437.78/1,984.98 = 1,105.56/x
  3. Step 3: Cross multiply
    1,437.78x = 1,984.98 × 1,105.56
  4. Step 4: Simplify right side
    1,437.78x = 2,194,514.49
  5. Step 5: Solve for x
    x = 2,194,514.49/1,437.78
  6. Step 6: Final answer
    x = 1,526.32

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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.