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Finding the Fourth Proportional to 1,894.08, 2,613.92 and 1,427.52

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Solution

The fourth proportional to 1,894.08, 2,613.92 and 1,427.52 is: 1,970.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.08 : 2,613.92 = 1,427.52 : x
  2. Step 2: Convert to fraction form
    1,894.08/2,613.92 = 1,427.52/x
  3. Step 3: Cross multiply
    1,894.08x = 2,613.92 × 1,427.52
  4. Step 4: Simplify right side
    1,894.08x = 3,731,423.08
  5. Step 5: Solve for x
    x = 3,731,423.08/1,894.08
  6. Step 6: Final answer
    x = 1,970.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.