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Finding the Fourth Proportional to 1,666.08, 2,282.49 and 1,603.77

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Solution

The fourth proportional to 1,666.08, 2,282.49 and 1,603.77 is: 2,197.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.08 : 2,282.49 = 1,603.77 : x
  2. Step 2: Convert to fraction form
    1,666.08/2,282.49 = 1,603.77/x
  3. Step 3: Cross multiply
    1,666.08x = 2,282.49 × 1,603.77
  4. Step 4: Simplify right side
    1,666.08x = 3,660,588.99
  5. Step 5: Solve for x
    x = 3,660,588.99/1,666.08
  6. Step 6: Final answer
    x = 2,197.13

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.