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Finding the Fourth Proportional to 1,431.98, 2,148.19 and 610.25

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Solution

The fourth proportional to 1,431.98, 2,148.19 and 610.25 is: 915.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.98 : 2,148.19 = 610.25 : x
  2. Step 2: Convert to fraction form
    1,431.98/2,148.19 = 610.25/x
  3. Step 3: Cross multiply
    1,431.98x = 2,148.19 × 610.25
  4. Step 4: Simplify right side
    1,431.98x = 1,310,929.90
  5. Step 5: Solve for x
    x = 1,310,929.90/1,431.98
  6. Step 6: Final answer
    x = 915.47

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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.