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Finding the Fourth Proportional to 2,364.65, 3,548.29 and 1,048.65

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Solution

The fourth proportional to 2,364.65, 3,548.29 and 1,048.65 is: 1,573.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.65 : 3,548.29 = 1,048.65 : x
  2. Step 2: Convert to fraction form
    2,364.65/3,548.29 = 1,048.65/x
  3. Step 3: Cross multiply
    2,364.65x = 3,548.29 × 1,048.65
  4. Step 4: Simplify right side
    2,364.65x = 3,720,914.31
  5. Step 5: Solve for x
    x = 3,720,914.31/2,364.65
  6. Step 6: Final answer
    x = 1,573.56

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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.