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Finding the Fourth Proportional to 2,584, 3,564.66 and 1,535.32

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Solution

The fourth proportional to 2,584, 3,564.66 and 1,535.32 is: 2,117.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584 : 3,564.66 = 1,535.32 : x
  2. Step 2: Convert to fraction form
    2,584/3,564.66 = 1,535.32/x
  3. Step 3: Cross multiply
    2,584x = 3,564.66 × 1,535.32
  4. Step 4: Simplify right side
    2,584x = 5,472,893.79
  5. Step 5: Solve for x
    x = 5,472,893.79/2,584
  6. Step 6: Final answer
    x = 2,117.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.