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Finding the Fourth Proportional to 2,672.78, 4,009.23 and 1,577.93

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Solution

The fourth proportional to 2,672.78, 4,009.23 and 1,577.93 is: 2,366.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.78 : 4,009.23 = 1,577.93 : x
  2. Step 2: Convert to fraction form
    2,672.78/4,009.23 = 1,577.93/x
  3. Step 3: Cross multiply
    2,672.78x = 4,009.23 × 1,577.93
  4. Step 4: Simplify right side
    2,672.78x = 6,326,284.29
  5. Step 5: Solve for x
    x = 6,326,284.29/2,672.78
  6. Step 6: Final answer
    x = 2,366.93

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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.