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Finding the Fourth Proportional to 1,346.49, 1,859.39 and 1,014.35

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Solution

The fourth proportional to 1,346.49, 1,859.39 and 1,014.35 is: 1,400.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.49 : 1,859.39 = 1,014.35 : x
  2. Step 2: Convert to fraction form
    1,346.49/1,859.39 = 1,014.35/x
  3. Step 3: Cross multiply
    1,346.49x = 1,859.39 × 1,014.35
  4. Step 4: Simplify right side
    1,346.49x = 1,886,057.88
  5. Step 5: Solve for x
    x = 1,886,057.88/1,346.49
  6. Step 6: Final answer
    x = 1,400.72

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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.