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Finding the Fourth Proportional to 2,656.65, 3,666.62 and 1,537.39

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Solution

The fourth proportional to 2,656.65, 3,666.62 and 1,537.39 is: 2,121.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.65 : 3,666.62 = 1,537.39 : x
  2. Step 2: Convert to fraction form
    2,656.65/3,666.62 = 1,537.39/x
  3. Step 3: Cross multiply
    2,656.65x = 3,666.62 × 1,537.39
  4. Step 4: Simplify right side
    2,656.65x = 5,637,024.92
  5. Step 5: Solve for x
    x = 5,637,024.92/2,656.65
  6. Step 6: Final answer
    x = 2,121.85

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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.