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Finding the Fourth Proportional to 1,762.14, 2,430.16 and 1,099.06

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Solution

The fourth proportional to 1,762.14, 2,430.16 and 1,099.06 is: 1,515.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.14 : 2,430.16 = 1,099.06 : x
  2. Step 2: Convert to fraction form
    1,762.14/2,430.16 = 1,099.06/x
  3. Step 3: Cross multiply
    1,762.14x = 2,430.16 × 1,099.06
  4. Step 4: Simplify right side
    1,762.14x = 2,670,891.65
  5. Step 5: Solve for x
    x = 2,670,891.65/1,762.14
  6. Step 6: Final answer
    x = 1,515.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.