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Finding the Fourth Proportional to 3,085.90, 4,627.50 and 894.58

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Solution

The fourth proportional to 3,085.90, 4,627.50 and 894.58 is: 1,341.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.90 : 4,627.50 = 894.58 : x
  2. Step 2: Convert to fraction form
    3,085.90/4,627.50 = 894.58/x
  3. Step 3: Cross multiply
    3,085.90x = 4,627.50 × 894.58
  4. Step 4: Simplify right side
    3,085.90x = 4,139,668.95
  5. Step 5: Solve for x
    x = 4,139,668.95/3,085.90
  6. Step 6: Final answer
    x = 1,341.48

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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.