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Finding the Fourth Proportional to 1,553.70, 2,323.80 and 1,390.35

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Solution

The fourth proportional to 1,553.70, 2,323.80 and 1,390.35 is: 2,079.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.70 : 2,323.80 = 1,390.35 : x
  2. Step 2: Convert to fraction form
    1,553.70/2,323.80 = 1,390.35/x
  3. Step 3: Cross multiply
    1,553.70x = 2,323.80 × 1,390.35
  4. Step 4: Simplify right side
    1,553.70x = 3,230,895.33
  5. Step 5: Solve for x
    x = 3,230,895.33/1,553.70
  6. Step 6: Final answer
    x = 2,079.48

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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.