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Finding the Fourth Proportional to 2,315.34, 3,466.17 and 1,491.15

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Solution

The fourth proportional to 2,315.34, 3,466.17 and 1,491.15 is: 2,232.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.34 : 3,466.17 = 1,491.15 : x
  2. Step 2: Convert to fraction form
    2,315.34/3,466.17 = 1,491.15/x
  3. Step 3: Cross multiply
    2,315.34x = 3,466.17 × 1,491.15
  4. Step 4: Simplify right side
    2,315.34x = 5,168,579.40
  5. Step 5: Solve for x
    x = 5,168,579.40/2,315.34
  6. Step 6: Final answer
    x = 2,232.32

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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.