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Finding the Fourth Proportional to 1,807.62, 2,707.83 and 1,655.34

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Solution

The fourth proportional to 1,807.62, 2,707.83 and 1,655.34 is: 2,479.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.62 : 2,707.83 = 1,655.34 : x
  2. Step 2: Convert to fraction form
    1,807.62/2,707.83 = 1,655.34/x
  3. Step 3: Cross multiply
    1,807.62x = 2,707.83 × 1,655.34
  4. Step 4: Simplify right side
    1,807.62x = 4,482,379.31
  5. Step 5: Solve for x
    x = 4,482,379.31/1,807.62
  6. Step 6: Final answer
    x = 2,479.71

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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.