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Finding the Fourth Proportional to 1,346.93, 1,859.25 and 849.89

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Solution

The fourth proportional to 1,346.93, 1,859.25 and 849.89 is: 1,173.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.93 : 1,859.25 = 849.89 : x
  2. Step 2: Convert to fraction form
    1,346.93/1,859.25 = 849.89/x
  3. Step 3: Cross multiply
    1,346.93x = 1,859.25 × 849.89
  4. Step 4: Simplify right side
    1,346.93x = 1,580,165.82
  5. Step 5: Solve for x
    x = 1,580,165.82/1,346.93
  6. Step 6: Final answer
    x = 1,173.16

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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.