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Finding the Fourth Proportional to 1,346.01, 1,857.57 and 897.11

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Solution

The fourth proportional to 1,346.01, 1,857.57 and 897.11 is: 1,238.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.01 : 1,857.57 = 897.11 : x
  2. Step 2: Convert to fraction form
    1,346.01/1,857.57 = 897.11/x
  3. Step 3: Cross multiply
    1,346.01x = 1,857.57 × 897.11
  4. Step 4: Simplify right side
    1,346.01x = 1,666,435.33
  5. Step 5: Solve for x
    x = 1,666,435.33/1,346.01
  6. Step 6: Final answer
    x = 1,238.06

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Why These Related Problems?

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