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Finding the Fourth Proportional to 2,416.76, 3,622.61 and 1,011.99

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Solution

The fourth proportional to 2,416.76, 3,622.61 and 1,011.99 is: 1,516.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.76 : 3,622.61 = 1,011.99 : x
  2. Step 2: Convert to fraction form
    2,416.76/3,622.61 = 1,011.99/x
  3. Step 3: Cross multiply
    2,416.76x = 3,622.61 × 1,011.99
  4. Step 4: Simplify right side
    2,416.76x = 3,666,034.04
  5. Step 5: Solve for x
    x = 3,666,034.04/2,416.76
  6. Step 6: Final answer
    x = 1,516.92

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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.