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Finding the Fourth Proportional to 2,326.48, 3,490.80 and 1,779.28

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Solution

The fourth proportional to 2,326.48, 3,490.80 and 1,779.28 is: 2,669.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.48 : 3,490.80 = 1,779.28 : x
  2. Step 2: Convert to fraction form
    2,326.48/3,490.80 = 1,779.28/x
  3. Step 3: Cross multiply
    2,326.48x = 3,490.80 × 1,779.28
  4. Step 4: Simplify right side
    2,326.48x = 6,211,110.62
  5. Step 5: Solve for x
    x = 6,211,110.62/2,326.48
  6. Step 6: Final answer
    x = 2,669.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.