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Finding the Fourth Proportional to 2,975.29, 4,463.15 and 784

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Solution

The fourth proportional to 2,975.29, 4,463.15 and 784 is: 1,176.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.29 : 4,463.15 = 784 : x
  2. Step 2: Convert to fraction form
    2,975.29/4,463.15 = 784/x
  3. Step 3: Cross multiply
    2,975.29x = 4,463.15 × 784
  4. Step 4: Simplify right side
    2,975.29x = 3,499,109.60
  5. Step 5: Solve for x
    x = 3,499,109.60/2,975.29
  6. Step 6: Final answer
    x = 1,176.06

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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.