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Finding the Fourth Proportional to 2,974.76, 4,459.20 and 1,412

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Solution

The fourth proportional to 2,974.76, 4,459.20 and 1,412 is: 2,116.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.76 : 4,459.20 = 1,412 : x
  2. Step 2: Convert to fraction form
    2,974.76/4,459.20 = 1,412/x
  3. Step 3: Cross multiply
    2,974.76x = 4,459.20 × 1,412
  4. Step 4: Simplify right side
    2,974.76x = 6,296,390.40
  5. Step 5: Solve for x
    x = 6,296,390.40/2,974.76
  6. Step 6: Final answer
    x = 2,116.60

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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.