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Finding the Fourth Proportional to 1,341.58, 2,013 and 417.28

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Solution

The fourth proportional to 1,341.58, 2,013 and 417.28 is: 626.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.58 : 2,013 = 417.28 : x
  2. Step 2: Convert to fraction form
    1,341.58/2,013 = 417.28/x
  3. Step 3: Cross multiply
    1,341.58x = 2,013 × 417.28
  4. Step 4: Simplify right side
    1,341.58x = 839,984.64
  5. Step 5: Solve for x
    x = 839,984.64/1,341.58
  6. Step 6: Final answer
    x = 626.12

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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.