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Finding the Fourth Proportional to 2,666.03, 3,681.99 and 2,029.77

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Solution

The fourth proportional to 2,666.03, 3,681.99 and 2,029.77 is: 2,803.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.03 : 3,681.99 = 2,029.77 : x
  2. Step 2: Convert to fraction form
    2,666.03/3,681.99 = 2,029.77/x
  3. Step 3: Cross multiply
    2,666.03x = 3,681.99 × 2,029.77
  4. Step 4: Simplify right side
    2,666.03x = 7,473,592.84
  5. Step 5: Solve for x
    x = 7,473,592.84/2,666.03
  6. Step 6: Final answer
    x = 2,803.27

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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.