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Finding the Fourth Proportional to 1,576.64, 2,176.50 and 913.25

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Solution

The fourth proportional to 1,576.64, 2,176.50 and 913.25 is: 1,260.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.64 : 2,176.50 = 913.25 : x
  2. Step 2: Convert to fraction form
    1,576.64/2,176.50 = 913.25/x
  3. Step 3: Cross multiply
    1,576.64x = 2,176.50 × 913.25
  4. Step 4: Simplify right side
    1,576.64x = 1,987,677.74
  5. Step 5: Solve for x
    x = 1,987,677.74/1,576.64
  6. Step 6: Final answer
    x = 1,260.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.