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Finding the Fourth Proportional to 1,922.40, 2,653.16 and 1,393.00

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Solution

The fourth proportional to 1,922.40, 2,653.16 and 1,393.00 is: 1,922.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.40 : 2,653.16 = 1,393.00 : x
  2. Step 2: Convert to fraction form
    1,922.40/2,653.16 = 1,393.00/x
  3. Step 3: Cross multiply
    1,922.40x = 2,653.16 × 1,393.00
  4. Step 4: Simplify right side
    1,922.40x = 3,695,838.28
  5. Step 5: Solve for x
    x = 3,695,838.28/1,922.40
  6. Step 6: Final answer
    x = 1,922.51

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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.