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Finding the Fourth Proportional to 1,340.01, 1,857.11 and 1,319.51

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Solution

The fourth proportional to 1,340.01, 1,857.11 and 1,319.51 is: 1,828.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.01 : 1,857.11 = 1,319.51 : x
  2. Step 2: Convert to fraction form
    1,340.01/1,857.11 = 1,319.51/x
  3. Step 3: Cross multiply
    1,340.01x = 1,857.11 × 1,319.51
  4. Step 4: Simplify right side
    1,340.01x = 2,450,473.26
  5. Step 5: Solve for x
    x = 2,450,473.26/1,340.01
  6. Step 6: Final answer
    x = 1,828.70

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.