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Finding the Fourth Proportional to 2,453.84, 3,680.84 and 973.34

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Solution

The fourth proportional to 2,453.84, 3,680.84 and 973.34 is: 1,460.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.84 : 3,680.84 = 973.34 : x
  2. Step 2: Convert to fraction form
    2,453.84/3,680.84 = 973.34/x
  3. Step 3: Cross multiply
    2,453.84x = 3,680.84 × 973.34
  4. Step 4: Simplify right side
    2,453.84x = 3,582,701.77
  5. Step 5: Solve for x
    x = 3,582,701.77/2,453.84
  6. Step 6: Final answer
    x = 1,460.04

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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.