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Finding the Fourth Proportional to 2,488.56, 3,434.16 and 1,604.52

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Solution

The fourth proportional to 2,488.56, 3,434.16 and 1,604.52 is: 2,214.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.56 : 3,434.16 = 1,604.52 : x
  2. Step 2: Convert to fraction form
    2,488.56/3,434.16 = 1,604.52/x
  3. Step 3: Cross multiply
    2,488.56x = 3,434.16 × 1,604.52
  4. Step 4: Simplify right side
    2,488.56x = 5,510,178.40
  5. Step 5: Solve for x
    x = 5,510,178.40/2,488.56
  6. Step 6: Final answer
    x = 2,214.20

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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.