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Finding the Fourth Proportional to 1,853.64, 2,777.04 and 1,605.96

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Solution

The fourth proportional to 1,853.64, 2,777.04 and 1,605.96 is: 2,405.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.64 : 2,777.04 = 1,605.96 : x
  2. Step 2: Convert to fraction form
    1,853.64/2,777.04 = 1,605.96/x
  3. Step 3: Cross multiply
    1,853.64x = 2,777.04 × 1,605.96
  4. Step 4: Simplify right side
    1,853.64x = 4,459,815.16
  5. Step 5: Solve for x
    x = 4,459,815.16/1,853.64
  6. Step 6: Final answer
    x = 2,405.98

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Why These Related Problems?

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