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Finding the Fourth Proportional to 2,185.60, 3,265.76 and 1,840

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Solution

The fourth proportional to 2,185.60, 3,265.76 and 1,840 is: 2,749.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.60 : 3,265.76 = 1,840 : x
  2. Step 2: Convert to fraction form
    2,185.60/3,265.76 = 1,840/x
  3. Step 3: Cross multiply
    2,185.60x = 3,265.76 × 1,840
  4. Step 4: Simplify right side
    2,185.60x = 6,008,998.40
  5. Step 5: Solve for x
    x = 6,008,998.40/2,185.60
  6. Step 6: Final answer
    x = 2,749.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.