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Finding the Fourth Proportional to 1,584.36, 2,363.18 and 1,535.76

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Solution

The fourth proportional to 1,584.36, 2,363.18 and 1,535.76 is: 2,290.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.36 : 2,363.18 = 1,535.76 : x
  2. Step 2: Convert to fraction form
    1,584.36/2,363.18 = 1,535.76/x
  3. Step 3: Cross multiply
    1,584.36x = 2,363.18 × 1,535.76
  4. Step 4: Simplify right side
    1,584.36x = 3,629,269.64
  5. Step 5: Solve for x
    x = 3,629,269.64/1,584.36
  6. Step 6: Final answer
    x = 2,290.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.