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Finding the Fourth Proportional to 1,894.12, 2,613.80 and 1,054.76

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Solution

The fourth proportional to 1,894.12, 2,613.80 and 1,054.76 is: 1,455.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.12 : 2,613.80 = 1,054.76 : x
  2. Step 2: Convert to fraction form
    1,894.12/2,613.80 = 1,054.76/x
  3. Step 3: Cross multiply
    1,894.12x = 2,613.80 × 1,054.76
  4. Step 4: Simplify right side
    1,894.12x = 2,756,921.26
  5. Step 5: Solve for x
    x = 2,756,921.26/1,894.12
  6. Step 6: Final answer
    x = 1,455.52

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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.