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Finding the Fourth Proportional to 2,461.84, 3,692.77 and 730.47

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Solution

The fourth proportional to 2,461.84, 3,692.77 and 730.47 is: 1,095.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.84 : 3,692.77 = 730.47 : x
  2. Step 2: Convert to fraction form
    2,461.84/3,692.77 = 730.47/x
  3. Step 3: Cross multiply
    2,461.84x = 3,692.77 × 730.47
  4. Step 4: Simplify right side
    2,461.84x = 2,697,449.89
  5. Step 5: Solve for x
    x = 2,697,449.89/2,461.84
  6. Step 6: Final answer
    x = 1,095.70

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1.5x scale

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.