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Finding the Fourth Proportional to 1,341.10, 2,012.08 and 846.93

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Solution

The fourth proportional to 1,341.10, 2,012.08 and 846.93 is: 1,270.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.10 : 2,012.08 = 846.93 : x
  2. Step 2: Convert to fraction form
    1,341.10/2,012.08 = 846.93/x
  3. Step 3: Cross multiply
    1,341.10x = 2,012.08 × 846.93
  4. Step 4: Simplify right side
    1,341.10x = 1,704,090.91
  5. Step 5: Solve for x
    x = 1,704,090.91/1,341.10
  6. Step 6: Final answer
    x = 1,270.67

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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.