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Finding the Fourth Proportional to 1,362.94, 2,044.14 and 389.02

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Solution

The fourth proportional to 1,362.94, 2,044.14 and 389.02 is: 583.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.94 : 2,044.14 = 389.02 : x
  2. Step 2: Convert to fraction form
    1,362.94/2,044.14 = 389.02/x
  3. Step 3: Cross multiply
    1,362.94x = 2,044.14 × 389.02
  4. Step 4: Simplify right side
    1,362.94x = 795,211.34
  5. Step 5: Solve for x
    x = 795,211.34/1,362.94
  6. Step 6: Final answer
    x = 583.45

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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.