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Finding the Fourth Proportional to 1,461.64, 2,189.58 and 637.96

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Solution

The fourth proportional to 1,461.64, 2,189.58 and 637.96 is: 955.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.64 : 2,189.58 = 637.96 : x
  2. Step 2: Convert to fraction form
    1,461.64/2,189.58 = 637.96/x
  3. Step 3: Cross multiply
    1,461.64x = 2,189.58 × 637.96
  4. Step 4: Simplify right side
    1,461.64x = 1,396,864.46
  5. Step 5: Solve for x
    x = 1,396,864.46/1,461.64
  6. Step 6: Final answer
    x = 955.68

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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.