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Finding the Fourth Proportional to 1,859.76, 2,583.29 and 1,829.99

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Solution

The fourth proportional to 1,859.76, 2,583.29 and 1,829.99 is: 2,541.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.76 : 2,583.29 = 1,829.99 : x
  2. Step 2: Convert to fraction form
    1,859.76/2,583.29 = 1,829.99/x
  3. Step 3: Cross multiply
    1,859.76x = 2,583.29 × 1,829.99
  4. Step 4: Simplify right side
    1,859.76x = 4,727,405.90
  5. Step 5: Solve for x
    x = 4,727,405.90/1,859.76
  6. Step 6: Final answer
    x = 2,541.94

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.