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Finding the Fourth Proportional to 2,430.56, 3,644.76 and 698.76

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Solution

The fourth proportional to 2,430.56, 3,644.76 and 698.76 is: 1,047.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.56 : 3,644.76 = 698.76 : x
  2. Step 2: Convert to fraction form
    2,430.56/3,644.76 = 698.76/x
  3. Step 3: Cross multiply
    2,430.56x = 3,644.76 × 698.76
  4. Step 4: Simplify right side
    2,430.56x = 2,546,812.50
  5. Step 5: Solve for x
    x = 2,546,812.50/2,430.56
  6. Step 6: Final answer
    x = 1,047.83

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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.