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Finding the Fourth Proportional to 1,554.48, 2,331.78 and 400.23

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Solution

The fourth proportional to 1,554.48, 2,331.78 and 400.23 is: 600.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,554.48 : 2,331.78 = 400.23 : x
  2. Step 2: Convert to fraction form
    1,554.48/2,331.78 = 400.23/x
  3. Step 3: Cross multiply
    1,554.48x = 2,331.78 × 400.23
  4. Step 4: Simplify right side
    1,554.48x = 933,248.31
  5. Step 5: Solve for x
    x = 933,248.31/1,554.48
  6. Step 6: Final answer
    x = 600.36

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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.