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Finding the Fourth Proportional to 1,537.04, 2,121.16 and 874

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Solution

The fourth proportional to 1,537.04, 2,121.16 and 874 is: 1,206.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.04 : 2,121.16 = 874 : x
  2. Step 2: Convert to fraction form
    1,537.04/2,121.16 = 874/x
  3. Step 3: Cross multiply
    1,537.04x = 2,121.16 × 874
  4. Step 4: Simplify right side
    1,537.04x = 1,853,893.84
  5. Step 5: Solve for x
    x = 1,853,893.84/1,537.04
  6. Step 6: Final answer
    x = 1,206.15

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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.