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Finding the Fourth Proportional to 1,680.92, 2,319.80 and 973.00

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Solution

The fourth proportional to 1,680.92, 2,319.80 and 973.00 is: 1,342.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.92 : 2,319.80 = 973.00 : x
  2. Step 2: Convert to fraction form
    1,680.92/2,319.80 = 973.00/x
  3. Step 3: Cross multiply
    1,680.92x = 2,319.80 × 973.00
  4. Step 4: Simplify right side
    1,680.92x = 2,257,163.43
  5. Step 5: Solve for x
    x = 2,257,163.43/1,680.92
  6. Step 6: Final answer
    x = 1,342.82

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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.