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Finding the Fourth Proportional to 1,381.60, 1,904.34 and 1,085.68

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Solution

The fourth proportional to 1,381.60, 1,904.34 and 1,085.68 is: 1,496.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.60 : 1,904.34 = 1,085.68 : x
  2. Step 2: Convert to fraction form
    1,381.60/1,904.34 = 1,085.68/x
  3. Step 3: Cross multiply
    1,381.60x = 1,904.34 × 1,085.68
  4. Step 4: Simplify right side
    1,381.60x = 2,067,503.85
  5. Step 5: Solve for x
    x = 2,067,503.85/1,381.60
  6. Step 6: Final answer
    x = 1,496.46

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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.