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Finding the Fourth Proportional to 1,709.10, 2,357.37 and 1,377

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Solution

The fourth proportional to 1,709.10, 2,357.37 and 1,377 is: 1,899.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.10 : 2,357.37 = 1,377 : x
  2. Step 2: Convert to fraction form
    1,709.10/2,357.37 = 1,377/x
  3. Step 3: Cross multiply
    1,709.10x = 2,357.37 × 1,377
  4. Step 4: Simplify right side
    1,709.10x = 3,246,098.49
  5. Step 5: Solve for x
    x = 3,246,098.49/1,709.10
  6. Step 6: Final answer
    x = 1,899.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.