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Finding the Fourth Proportional to 1,624.82, 2,242.50 and 995.72

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Solution

The fourth proportional to 1,624.82, 2,242.50 and 995.72 is: 1,374.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.82 : 2,242.50 = 995.72 : x
  2. Step 2: Convert to fraction form
    1,624.82/2,242.50 = 995.72/x
  3. Step 3: Cross multiply
    1,624.82x = 2,242.50 × 995.72
  4. Step 4: Simplify right side
    1,624.82x = 2,232,902.10
  5. Step 5: Solve for x
    x = 2,232,902.10/1,624.82
  6. Step 6: Final answer
    x = 1,374.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.