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Finding the Fourth Proportional to 1,341.48, 2,011.92 and 417.12

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Solution

The fourth proportional to 1,341.48, 2,011.92 and 417.12 is: 625.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.48 : 2,011.92 = 417.12 : x
  2. Step 2: Convert to fraction form
    1,341.48/2,011.92 = 417.12/x
  3. Step 3: Cross multiply
    1,341.48x = 2,011.92 × 417.12
  4. Step 4: Simplify right side
    1,341.48x = 839,212.07
  5. Step 5: Solve for x
    x = 839,212.07/1,341.48
  6. Step 6: Final answer
    x = 625.59

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Why These Related Problems?

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