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Finding the Fourth Proportional to 1,576.42, 2,175.45 and 913.65

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Solution

The fourth proportional to 1,576.42, 2,175.45 and 913.65 is: 1,260.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.42 : 2,175.45 = 913.65 : x
  2. Step 2: Convert to fraction form
    1,576.42/2,175.45 = 913.65/x
  3. Step 3: Cross multiply
    1,576.42x = 2,175.45 × 913.65
  4. Step 4: Simplify right side
    1,576.42x = 1,987,605.72
  5. Step 5: Solve for x
    x = 1,987,605.72/1,576.42
  6. Step 6: Final answer
    x = 1,260.84

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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.