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Finding the Fourth Proportional to 1,542.40, 2,313.60 and 995.20

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Solution

The fourth proportional to 1,542.40, 2,313.60 and 995.20 is: 1,492.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.40 : 2,313.60 = 995.20 : x
  2. Step 2: Convert to fraction form
    1,542.40/2,313.60 = 995.20/x
  3. Step 3: Cross multiply
    1,542.40x = 2,313.60 × 995.20
  4. Step 4: Simplify right side
    1,542.40x = 2,302,494.72
  5. Step 5: Solve for x
    x = 2,302,494.72/1,542.40
  6. Step 6: Final answer
    x = 1,492.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.