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Finding the Fourth Proportional to 2,430.78, 3,645.62 and 969.54

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Solution

The fourth proportional to 2,430.78, 3,645.62 and 969.54 is: 1,454.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.78 : 3,645.62 = 969.54 : x
  2. Step 2: Convert to fraction form
    2,430.78/3,645.62 = 969.54/x
  3. Step 3: Cross multiply
    2,430.78x = 3,645.62 × 969.54
  4. Step 4: Simplify right side
    2,430.78x = 3,534,574.41
  5. Step 5: Solve for x
    x = 3,534,574.41/2,430.78
  6. Step 6: Final answer
    x = 1,454.09

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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.