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Finding the Fourth Proportional to 1,875.89, 2,815.37 and 1,802.09

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Solution

The fourth proportional to 1,875.89, 2,815.37 and 1,802.09 is: 2,704.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.89 : 2,815.37 = 1,802.09 : x
  2. Step 2: Convert to fraction form
    1,875.89/2,815.37 = 1,802.09/x
  3. Step 3: Cross multiply
    1,875.89x = 2,815.37 × 1,802.09
  4. Step 4: Simplify right side
    1,875.89x = 5,073,527.04
  5. Step 5: Solve for x
    x = 5,073,527.04/1,875.89
  6. Step 6: Final answer
    x = 2,704.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.