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Finding the Fourth Proportional to 2,326.33, 3,491.93 and 1,461.25

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Solution

The fourth proportional to 2,326.33, 3,491.93 and 1,461.25 is: 2,193.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.33 : 3,491.93 = 1,461.25 : x
  2. Step 2: Convert to fraction form
    2,326.33/3,491.93 = 1,461.25/x
  3. Step 3: Cross multiply
    2,326.33x = 3,491.93 × 1,461.25
  4. Step 4: Simplify right side
    2,326.33x = 5,102,575.41
  5. Step 5: Solve for x
    x = 5,102,575.41/2,326.33
  6. Step 6: Final answer
    x = 2,193.40

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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.