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Finding the Fourth Proportional to 2,989.62, 4,125.84 and 1,810.80

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Solution

The fourth proportional to 2,989.62, 4,125.84 and 1,810.80 is: 2,499.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.62 : 4,125.84 = 1,810.80 : x
  2. Step 2: Convert to fraction form
    2,989.62/4,125.84 = 1,810.80/x
  3. Step 3: Cross multiply
    2,989.62x = 4,125.84 × 1,810.80
  4. Step 4: Simplify right side
    2,989.62x = 7,471,071.07
  5. Step 5: Solve for x
    x = 7,471,071.07/2,989.62
  6. Step 6: Final answer
    x = 2,499.00

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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.