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Finding the Fourth Proportional to 2,319.33, 3,478.94 and 564.34

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Solution

The fourth proportional to 2,319.33, 3,478.94 and 564.34 is: 846.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.33 : 3,478.94 = 564.34 : x
  2. Step 2: Convert to fraction form
    2,319.33/3,478.94 = 564.34/x
  3. Step 3: Cross multiply
    2,319.33x = 3,478.94 × 564.34
  4. Step 4: Simplify right side
    2,319.33x = 1,963,314.40
  5. Step 5: Solve for x
    x = 1,963,314.40/2,319.33
  6. Step 6: Final answer
    x = 846.50

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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.