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Finding the Fourth Proportional to 1,894.94, 2,842.30 and 854.53

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Solution

The fourth proportional to 1,894.94, 2,842.30 and 854.53 is: 1,281.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.94 : 2,842.30 = 854.53 : x
  2. Step 2: Convert to fraction form
    1,894.94/2,842.30 = 854.53/x
  3. Step 3: Cross multiply
    1,894.94x = 2,842.30 × 854.53
  4. Step 4: Simplify right side
    1,894.94x = 2,428,821.38
  5. Step 5: Solve for x
    x = 2,428,821.38/1,894.94
  6. Step 6: Final answer
    x = 1,281.74

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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.