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Finding the Fourth Proportional to 2,970.36, 4,429.74 and 2,930.67

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Solution

The fourth proportional to 2,970.36, 4,429.74 and 2,930.67 is: 4,370.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.36 : 4,429.74 = 2,930.67 : x
  2. Step 2: Convert to fraction form
    2,970.36/4,429.74 = 2,930.67/x
  3. Step 3: Cross multiply
    2,970.36x = 4,429.74 × 2,930.67
  4. Step 4: Simplify right side
    2,970.36x = 12,982,106.13
  5. Step 5: Solve for x
    x = 12,982,106.13/2,970.36
  6. Step 6: Final answer
    x = 4,370.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.