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Finding the Fourth Proportional to 3,313.74, 4,970.45 and 973.65

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Solution

The fourth proportional to 3,313.74, 4,970.45 and 973.65 is: 1,460.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,313.74 : 4,970.45 = 973.65 : x
  2. Step 2: Convert to fraction form
    3,313.74/4,970.45 = 973.65/x
  3. Step 3: Cross multiply
    3,313.74x = 4,970.45 × 973.65
  4. Step 4: Simplify right side
    3,313.74x = 4,839,481.08
  5. Step 5: Solve for x
    x = 4,839,481.08/3,313.74
  6. Step 6: Final answer
    x = 1,460.43

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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.