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Finding the Fourth Proportional to 2,970.84, 4,455.99 and 2,329.32

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Solution

The fourth proportional to 2,970.84, 4,455.99 and 2,329.32 is: 3,493.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.84 : 4,455.99 = 2,329.32 : x
  2. Step 2: Convert to fraction form
    2,970.84/4,455.99 = 2,329.32/x
  3. Step 3: Cross multiply
    2,970.84x = 4,455.99 × 2,329.32
  4. Step 4: Simplify right side
    2,970.84x = 10,379,426.63
  5. Step 5: Solve for x
    x = 10,379,426.63/2,970.84
  6. Step 6: Final answer
    x = 3,493.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.