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Finding the Fourth Proportional to 1,624.79, 2,242.05 and 995.50

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Solution

The fourth proportional to 1,624.79, 2,242.05 and 995.50 is: 1,373.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.79 : 2,242.05 = 995.50 : x
  2. Step 2: Convert to fraction form
    1,624.79/2,242.05 = 995.50/x
  3. Step 3: Cross multiply
    1,624.79x = 2,242.05 × 995.50
  4. Step 4: Simplify right side
    1,624.79x = 2,231,960.78
  5. Step 5: Solve for x
    x = 2,231,960.78/1,624.79
  6. Step 6: Final answer
    x = 1,373.69

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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.