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Finding the Fourth Proportional to 1,341.60, 2,012.40 and 475.92

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Solution

The fourth proportional to 1,341.60, 2,012.40 and 475.92 is: 713.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.60 : 2,012.40 = 475.92 : x
  2. Step 2: Convert to fraction form
    1,341.60/2,012.40 = 475.92/x
  3. Step 3: Cross multiply
    1,341.60x = 2,012.40 × 475.92
  4. Step 4: Simplify right side
    1,341.60x = 957,741.41
  5. Step 5: Solve for x
    x = 957,741.41/1,341.60
  6. Step 6: Final answer
    x = 713.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.