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Finding the Fourth Proportional to 3,089.97, 4,263.89 and 1,830.80

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Solution

The fourth proportional to 3,089.97, 4,263.89 and 1,830.80 is: 2,526.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.97 : 4,263.89 = 1,830.80 : x
  2. Step 2: Convert to fraction form
    3,089.97/4,263.89 = 1,830.80/x
  3. Step 3: Cross multiply
    3,089.97x = 4,263.89 × 1,830.80
  4. Step 4: Simplify right side
    3,089.97x = 7,806,331.32
  5. Step 5: Solve for x
    x = 7,806,331.32/3,089.97
  6. Step 6: Final answer
    x = 2,526.35

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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.