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Finding the Fourth Proportional to 1,604.68, 2,215.50 and 1,038.49

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Solution

The fourth proportional to 1,604.68, 2,215.50 and 1,038.49 is: 1,433.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.68 : 2,215.50 = 1,038.49 : x
  2. Step 2: Convert to fraction form
    1,604.68/2,215.50 = 1,038.49/x
  3. Step 3: Cross multiply
    1,604.68x = 2,215.50 × 1,038.49
  4. Step 4: Simplify right side
    1,604.68x = 2,300,774.60
  5. Step 5: Solve for x
    x = 2,300,774.60/1,604.68
  6. Step 6: Final answer
    x = 1,433.79

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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.