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Finding the Fourth Proportional to 2,461.86, 3,692.70 and 612.95

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Solution

The fourth proportional to 2,461.86, 3,692.70 and 612.95 is: 919.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.86 : 3,692.70 = 612.95 : x
  2. Step 2: Convert to fraction form
    2,461.86/3,692.70 = 612.95/x
  3. Step 3: Cross multiply
    2,461.86x = 3,692.70 × 612.95
  4. Step 4: Simplify right side
    2,461.86x = 2,263,422.00
  5. Step 5: Solve for x
    x = 2,263,422.00/2,461.86
  6. Step 6: Final answer
    x = 919.40

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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.