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Finding the Fourth Proportional to 2,423.94, 3,635.72 and 780.06

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Solution

The fourth proportional to 2,423.94, 3,635.72 and 780.06 is: 1,170.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.94 : 3,635.72 = 780.06 : x
  2. Step 2: Convert to fraction form
    2,423.94/3,635.72 = 780.06/x
  3. Step 3: Cross multiply
    2,423.94x = 3,635.72 × 780.06
  4. Step 4: Simplify right side
    2,423.94x = 2,836,079.74
  5. Step 5: Solve for x
    x = 2,836,079.74/2,423.94
  6. Step 6: Final answer
    x = 1,170.03

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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.