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Finding the Fourth Proportional to 3,316.74, 4,973.78 and 1,466.54

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Solution

The fourth proportional to 3,316.74, 4,973.78 and 1,466.54 is: 2,199.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,316.74 : 4,973.78 = 1,466.54 : x
  2. Step 2: Convert to fraction form
    3,316.74/4,973.78 = 1,466.54/x
  3. Step 3: Cross multiply
    3,316.74x = 4,973.78 × 1,466.54
  4. Step 4: Simplify right side
    3,316.74x = 7,294,247.32
  5. Step 5: Solve for x
    x = 7,294,247.32/3,316.74
  6. Step 6: Final answer
    x = 2,199.22

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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.