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Finding the Fourth Proportional to 1,389.04, 2,083.96 and 619.36

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Solution

The fourth proportional to 1,389.04, 2,083.96 and 619.36 is: 929.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.04 : 2,083.96 = 619.36 : x
  2. Step 2: Convert to fraction form
    1,389.04/2,083.96 = 619.36/x
  3. Step 3: Cross multiply
    1,389.04x = 2,083.96 × 619.36
  4. Step 4: Simplify right side
    1,389.04x = 1,290,721.47
  5. Step 5: Solve for x
    x = 1,290,721.47/1,389.04
  6. Step 6: Final answer
    x = 929.22

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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.