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Finding the Fourth Proportional to 1,842.88, 2,762.13 and 1,284.57

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Solution

The fourth proportional to 1,842.88, 2,762.13 and 1,284.57 is: 1,925.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.88 : 2,762.13 = 1,284.57 : x
  2. Step 2: Convert to fraction form
    1,842.88/2,762.13 = 1,284.57/x
  3. Step 3: Cross multiply
    1,842.88x = 2,762.13 × 1,284.57
  4. Step 4: Simplify right side
    1,842.88x = 3,548,142.91
  5. Step 5: Solve for x
    x = 3,548,142.91/1,842.88
  6. Step 6: Final answer
    x = 1,925.32

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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.