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Finding the Fourth Proportional to 1,784.34, 2,676.87 and 630.06

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Solution

The fourth proportional to 1,784.34, 2,676.87 and 630.06 is: 945.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.34 : 2,676.87 = 630.06 : x
  2. Step 2: Convert to fraction form
    1,784.34/2,676.87 = 630.06/x
  3. Step 3: Cross multiply
    1,784.34x = 2,676.87 × 630.06
  4. Step 4: Simplify right side
    1,784.34x = 1,686,588.71
  5. Step 5: Solve for x
    x = 1,686,588.71/1,784.34
  6. Step 6: Final answer
    x = 945.22

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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.