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Finding the Fourth Proportional to 2,656.94, 3,666.26 and 1,537.70

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Solution

The fourth proportional to 2,656.94, 3,666.26 and 1,537.70 is: 2,121.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.94 : 3,666.26 = 1,537.70 : x
  2. Step 2: Convert to fraction form
    2,656.94/3,666.26 = 1,537.70/x
  3. Step 3: Cross multiply
    2,656.94x = 3,666.26 × 1,537.70
  4. Step 4: Simplify right side
    2,656.94x = 5,637,608.00
  5. Step 5: Solve for x
    x = 5,637,608.00/2,656.94
  6. Step 6: Final answer
    x = 2,121.84

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