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Finding the Fourth Proportional to 1,340.57, 2,010.30 and 415.95

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Solution

The fourth proportional to 1,340.57, 2,010.30 and 415.95 is: 623.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.57 : 2,010.30 = 415.95 : x
  2. Step 2: Convert to fraction form
    1,340.57/2,010.30 = 415.95/x
  3. Step 3: Cross multiply
    1,340.57x = 2,010.30 × 415.95
  4. Step 4: Simplify right side
    1,340.57x = 836,184.29
  5. Step 5: Solve for x
    x = 836,184.29/1,340.57
  6. Step 6: Final answer
    x = 623.76

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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.