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Finding the Fourth Proportional to 1,576.23, 2,364.33 and 651.51

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Solution

The fourth proportional to 1,576.23, 2,364.33 and 651.51 is: 977.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.23 : 2,364.33 = 651.51 : x
  2. Step 2: Convert to fraction form
    1,576.23/2,364.33 = 651.51/x
  3. Step 3: Cross multiply
    1,576.23x = 2,364.33 × 651.51
  4. Step 4: Simplify right side
    1,576.23x = 1,540,384.64
  5. Step 5: Solve for x
    x = 1,540,384.64/1,576.23
  6. Step 6: Final answer
    x = 977.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.