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Finding the Fourth Proportional to 1,341.32, 2,011.95 and 417.29

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Solution

The fourth proportional to 1,341.32, 2,011.95 and 417.29 is: 625.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.32 : 2,011.95 = 417.29 : x
  2. Step 2: Convert to fraction form
    1,341.32/2,011.95 = 417.29/x
  3. Step 3: Cross multiply
    1,341.32x = 2,011.95 × 417.29
  4. Step 4: Simplify right side
    1,341.32x = 839,556.56
  5. Step 5: Solve for x
    x = 839,556.56/1,341.32
  6. Step 6: Final answer
    x = 625.92

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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.