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Finding the Fourth Proportional to 2,583.61, 3,564.24 and 1,535.06

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Solution

The fourth proportional to 2,583.61, 3,564.24 and 1,535.06 is: 2,117.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.61 : 3,564.24 = 1,535.06 : x
  2. Step 2: Convert to fraction form
    2,583.61/3,564.24 = 1,535.06/x
  3. Step 3: Cross multiply
    2,583.61x = 3,564.24 × 1,535.06
  4. Step 4: Simplify right side
    2,583.61x = 5,471,325.41
  5. Step 5: Solve for x
    x = 5,471,325.41/2,583.61
  6. Step 6: Final answer
    x = 2,117.71

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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.