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Finding the Fourth Proportional to 1,393.25, 1,921.80 and 973.45

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Solution

The fourth proportional to 1,393.25, 1,921.80 and 973.45 is: 1,342.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.25 : 1,921.80 = 973.45 : x
  2. Step 2: Convert to fraction form
    1,393.25/1,921.80 = 973.45/x
  3. Step 3: Cross multiply
    1,393.25x = 1,921.80 × 973.45
  4. Step 4: Simplify right side
    1,393.25x = 1,870,776.21
  5. Step 5: Solve for x
    x = 1,870,776.21/1,393.25
  6. Step 6: Final answer
    x = 1,342.74

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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.