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Finding the Fourth Proportional to 2,246.01, 3,368.08 and 784.66

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Solution

The fourth proportional to 2,246.01, 3,368.08 and 784.66 is: 1,176.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246.01 : 3,368.08 = 784.66 : x
  2. Step 2: Convert to fraction form
    2,246.01/3,368.08 = 784.66/x
  3. Step 3: Cross multiply
    2,246.01x = 3,368.08 × 784.66
  4. Step 4: Simplify right side
    2,246.01x = 2,642,797.65
  5. Step 5: Solve for x
    x = 2,642,797.65/2,246.01
  6. Step 6: Final answer
    x = 1,176.66

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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.