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Finding the Fourth Proportional to 2,461.76, 3,692.76 and 730.40

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Solution

The fourth proportional to 2,461.76, 3,692.76 and 730.40 is: 1,095.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.76 : 3,692.76 = 730.40 : x
  2. Step 2: Convert to fraction form
    2,461.76/3,692.76 = 730.40/x
  3. Step 3: Cross multiply
    2,461.76x = 3,692.76 × 730.40
  4. Step 4: Simplify right side
    2,461.76x = 2,697,191.90
  5. Step 5: Solve for x
    x = 2,697,191.90/2,461.76
  6. Step 6: Final answer
    x = 1,095.64

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