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Finding the Fourth Proportional to 1,864.88, 2,806.44 and 1,685.84

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Solution

The fourth proportional to 1,864.88, 2,806.44 and 1,685.84 is: 2,537.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.88 : 2,806.44 = 1,685.84 : x
  2. Step 2: Convert to fraction form
    1,864.88/2,806.44 = 1,685.84/x
  3. Step 3: Cross multiply
    1,864.88x = 2,806.44 × 1,685.84
  4. Step 4: Simplify right side
    1,864.88x = 4,731,208.81
  5. Step 5: Solve for x
    x = 4,731,208.81/1,864.88
  6. Step 6: Final answer
    x = 2,537.00

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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.