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Finding the Fourth Proportional to 2,460.55, 3,692.35 and 999.72

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Solution

The fourth proportional to 2,460.55, 3,692.35 and 999.72 is: 1,500.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.55 : 3,692.35 = 999.72 : x
  2. Step 2: Convert to fraction form
    2,460.55/3,692.35 = 999.72/x
  3. Step 3: Cross multiply
    2,460.55x = 3,692.35 × 999.72
  4. Step 4: Simplify right side
    2,460.55x = 3,691,316.14
  5. Step 5: Solve for x
    x = 3,691,316.14/2,460.55
  6. Step 6: Final answer
    x = 1,500.20

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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.