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Finding the Fourth Proportional to 1,341.84, 2,012.22 and 417.18

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Solution

The fourth proportional to 1,341.84, 2,012.22 and 417.18 is: 625.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.84 : 2,012.22 = 417.18 : x
  2. Step 2: Convert to fraction form
    1,341.84/2,012.22 = 417.18/x
  3. Step 3: Cross multiply
    1,341.84x = 2,012.22 × 417.18
  4. Step 4: Simplify right side
    1,341.84x = 839,457.94
  5. Step 5: Solve for x
    x = 839,457.94/1,341.84
  6. Step 6: Final answer
    x = 625.60

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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.