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Finding the Fourth Proportional to 2,313.60, 3,469.08 and 1,584

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Solution

The fourth proportional to 2,313.60, 3,469.08 and 1,584 is: 2,375.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.60 : 3,469.08 = 1,584 : x
  2. Step 2: Convert to fraction form
    2,313.60/3,469.08 = 1,584/x
  3. Step 3: Cross multiply
    2,313.60x = 3,469.08 × 1,584
  4. Step 4: Simplify right side
    2,313.60x = 5,495,022.72
  5. Step 5: Solve for x
    x = 5,495,022.72/2,313.60
  6. Step 6: Final answer
    x = 2,375.10

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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.