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Finding the Fourth Proportional to 2,160.04, 2,977.77 and 1,661.89

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Solution

The fourth proportional to 2,160.04, 2,977.77 and 1,661.89 is: 2,291.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.04 : 2,977.77 = 1,661.89 : x
  2. Step 2: Convert to fraction form
    2,160.04/2,977.77 = 1,661.89/x
  3. Step 3: Cross multiply
    2,160.04x = 2,977.77 × 1,661.89
  4. Step 4: Simplify right side
    2,160.04x = 4,948,726.19
  5. Step 5: Solve for x
    x = 4,948,726.19/2,160.04
  6. Step 6: Final answer
    x = 2,291.03

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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.