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Finding the Fourth Proportional to 1,379.89, 1,904.51 and 882.74

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Solution

The fourth proportional to 1,379.89, 1,904.51 and 882.74 is: 1,218.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.89 : 1,904.51 = 882.74 : x
  2. Step 2: Convert to fraction form
    1,379.89/1,904.51 = 882.74/x
  3. Step 3: Cross multiply
    1,379.89x = 1,904.51 × 882.74
  4. Step 4: Simplify right side
    1,379.89x = 1,681,187.16
  5. Step 5: Solve for x
    x = 1,681,187.16/1,379.89
  6. Step 6: Final answer
    x = 1,218.35

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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.