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Finding the Fourth Proportional to 1,557.72, 2,149.97 and 895.03

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Solution

The fourth proportional to 1,557.72, 2,149.97 and 895.03 is: 1,235.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.72 : 2,149.97 = 895.03 : x
  2. Step 2: Convert to fraction form
    1,557.72/2,149.97 = 895.03/x
  3. Step 3: Cross multiply
    1,557.72x = 2,149.97 × 895.03
  4. Step 4: Simplify right side
    1,557.72x = 1,924,287.65
  5. Step 5: Solve for x
    x = 1,924,287.65/1,557.72
  6. Step 6: Final answer
    x = 1,235.32

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Why These Related Problems?

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