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Finding the Fourth Proportional to 2,359.65, 3,538.64 and 693.32

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Solution

The fourth proportional to 2,359.65, 3,538.64 and 693.32 is: 1,039.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.65 : 3,538.64 = 693.32 : x
  2. Step 2: Convert to fraction form
    2,359.65/3,538.64 = 693.32/x
  3. Step 3: Cross multiply
    2,359.65x = 3,538.64 × 693.32
  4. Step 4: Simplify right side
    2,359.65x = 2,453,409.88
  5. Step 5: Solve for x
    x = 2,453,409.88/2,359.65
  6. Step 6: Final answer
    x = 1,039.73

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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.