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Finding the Fourth Proportional to 1,393.14, 1,924.20 and 1,061.40

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Solution

The fourth proportional to 1,393.14, 1,924.20 and 1,061.40 is: 1,466.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.14 : 1,924.20 = 1,061.40 : x
  2. Step 2: Convert to fraction form
    1,393.14/1,924.20 = 1,061.40/x
  3. Step 3: Cross multiply
    1,393.14x = 1,924.20 × 1,061.40
  4. Step 4: Simplify right side
    1,393.14x = 2,042,345.88
  5. Step 5: Solve for x
    x = 2,042,345.88/1,393.14
  6. Step 6: Final answer
    x = 1,466.00

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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.