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Finding the Fourth Proportional to 2,656.03, 3,665.49 and 1,537

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Solution

The fourth proportional to 2,656.03, 3,665.49 and 1,537 is: 2,121.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.03 : 3,665.49 = 1,537 : x
  2. Step 2: Convert to fraction form
    2,656.03/3,665.49 = 1,537/x
  3. Step 3: Cross multiply
    2,656.03x = 3,665.49 × 1,537
  4. Step 4: Simplify right side
    2,656.03x = 5,633,858.13
  5. Step 5: Solve for x
    x = 5,633,858.13/2,656.03
  6. Step 6: Final answer
    x = 2,121.16

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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.