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Finding the Fourth Proportional to 2,930.69, 4,037.19 and 2,509.67

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Solution

The fourth proportional to 2,930.69, 4,037.19 and 2,509.67 is: 3,457.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,930.69 : 4,037.19 = 2,509.67 : x
  2. Step 2: Convert to fraction form
    2,930.69/4,037.19 = 2,509.67/x
  3. Step 3: Cross multiply
    2,930.69x = 4,037.19 × 2,509.67
  4. Step 4: Simplify right side
    2,930.69x = 10,132,014.63
  5. Step 5: Solve for x
    x = 10,132,014.63/2,930.69
  6. Step 6: Final answer
    x = 3,457.21

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