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Finding the Fourth Proportional to 2,430.56, 3,645.84 and 969.72

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Solution

The fourth proportional to 2,430.56, 3,645.84 and 969.72 is: 1,454.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.56 : 3,645.84 = 969.72 : x
  2. Step 2: Convert to fraction form
    2,430.56/3,645.84 = 969.72/x
  3. Step 3: Cross multiply
    2,430.56x = 3,645.84 × 969.72
  4. Step 4: Simplify right side
    2,430.56x = 3,535,443.96
  5. Step 5: Solve for x
    x = 3,535,443.96/2,430.56
  6. Step 6: Final answer
    x = 1,454.58

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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.