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Finding the Fourth Proportional to 1,347.88, 1,859.12 and 1,302.72

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Solution

The fourth proportional to 1,347.88, 1,859.12 and 1,302.72 is: 1,796.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.88 : 1,859.12 = 1,302.72 : x
  2. Step 2: Convert to fraction form
    1,347.88/1,859.12 = 1,302.72/x
  3. Step 3: Cross multiply
    1,347.88x = 1,859.12 × 1,302.72
  4. Step 4: Simplify right side
    1,347.88x = 2,421,912.81
  5. Step 5: Solve for x
    x = 2,421,912.81/1,347.88
  6. Step 6: Final answer
    x = 1,796.83

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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.