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Finding the Fourth Proportional to 1,347.61, 1,859.93 and 1,286.05

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Solution

The fourth proportional to 1,347.61, 1,859.93 and 1,286.05 is: 1,774.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.61 : 1,859.93 = 1,286.05 : x
  2. Step 2: Convert to fraction form
    1,347.61/1,859.93 = 1,286.05/x
  3. Step 3: Cross multiply
    1,347.61x = 1,859.93 × 1,286.05
  4. Step 4: Simplify right side
    1,347.61x = 2,391,956.89
  5. Step 5: Solve for x
    x = 2,391,956.89/1,347.61
  6. Step 6: Final answer
    x = 1,774.97

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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.