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Finding the Fourth Proportional to 2,428.50, 3,642.90 and 697.26

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Solution

The fourth proportional to 2,428.50, 3,642.90 and 697.26 is: 1,045.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.50 : 3,642.90 = 697.26 : x
  2. Step 2: Convert to fraction form
    2,428.50/3,642.90 = 697.26/x
  3. Step 3: Cross multiply
    2,428.50x = 3,642.90 × 697.26
  4. Step 4: Simplify right side
    2,428.50x = 2,540,048.45
  5. Step 5: Solve for x
    x = 2,540,048.45/2,428.50
  6. Step 6: Final answer
    x = 1,045.93

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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.