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Finding the Fourth Proportional to 1,554.26, 2,331.42 and 580.16

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Solution

The fourth proportional to 1,554.26, 2,331.42 and 580.16 is: 870.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,554.26 : 2,331.42 = 580.16 : x
  2. Step 2: Convert to fraction form
    1,554.26/2,331.42 = 580.16/x
  3. Step 3: Cross multiply
    1,554.26x = 2,331.42 × 580.16
  4. Step 4: Simplify right side
    1,554.26x = 1,352,596.63
  5. Step 5: Solve for x
    x = 1,352,596.63/1,554.26
  6. Step 6: Final answer
    x = 870.25

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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.