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Finding the Fourth Proportional to 2,415.48, 3,624.56 and 954.48

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Solution

The fourth proportional to 2,415.48, 3,624.56 and 954.48 is: 1,432.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.48 : 3,624.56 = 954.48 : x
  2. Step 2: Convert to fraction form
    2,415.48/3,624.56 = 954.48/x
  3. Step 3: Cross multiply
    2,415.48x = 3,624.56 × 954.48
  4. Step 4: Simplify right side
    2,415.48x = 3,459,570.03
  5. Step 5: Solve for x
    x = 3,459,570.03/2,415.48
  6. Step 6: Final answer
    x = 1,432.25

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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.