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Finding the Fourth Proportional to 1,584, 2,376.03 and 488.22

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Solution

The fourth proportional to 1,584, 2,376.03 and 488.22 is: 732.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584 : 2,376.03 = 488.22 : x
  2. Step 2: Convert to fraction form
    1,584/2,376.03 = 488.22/x
  3. Step 3: Cross multiply
    1,584x = 2,376.03 × 488.22
  4. Step 4: Simplify right side
    1,584x = 1,160,025.37
  5. Step 5: Solve for x
    x = 1,160,025.37/1,584
  6. Step 6: Final answer
    x = 732.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.