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Finding the Fourth Proportional to 1,576.87, 2,364.53 and 918.97

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Solution

The fourth proportional to 1,576.87, 2,364.53 and 918.97 is: 1,378.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.87 : 2,364.53 = 918.97 : x
  2. Step 2: Convert to fraction form
    1,576.87/2,364.53 = 918.97/x
  3. Step 3: Cross multiply
    1,576.87x = 2,364.53 × 918.97
  4. Step 4: Simplify right side
    1,576.87x = 2,172,932.13
  5. Step 5: Solve for x
    x = 2,172,932.13/1,576.87
  6. Step 6: Final answer
    x = 1,378.00

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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.