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Finding the Fourth Proportional to 1,385.40, 2,070.00 and 1,336.97

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Solution

The fourth proportional to 1,385.40, 2,070.00 and 1,336.97 is: 1,997.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.40 : 2,070.00 = 1,336.97 : x
  2. Step 2: Convert to fraction form
    1,385.40/2,070.00 = 1,336.97/x
  3. Step 3: Cross multiply
    1,385.40x = 2,070.00 × 1,336.97
  4. Step 4: Simplify right side
    1,385.40x = 2,767,521.22
  5. Step 5: Solve for x
    x = 2,767,521.22/1,385.40
  6. Step 6: Final answer
    x = 1,997.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.