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Finding the Fourth Proportional to 1,346.66, 1,858.75 and 874.53

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Solution

The fourth proportional to 1,346.66, 1,858.75 and 874.53 is: 1,207.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.66 : 1,858.75 = 874.53 : x
  2. Step 2: Convert to fraction form
    1,346.66/1,858.75 = 874.53/x
  3. Step 3: Cross multiply
    1,346.66x = 1,858.75 × 874.53
  4. Step 4: Simplify right side
    1,346.66x = 1,625,530.18
  5. Step 5: Solve for x
    x = 1,625,530.18/1,346.66
  6. Step 6: Final answer
    x = 1,207.09

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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.