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Finding the Fourth Proportional to 2,686.72, 4,030.32 and 738.93

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Solution

The fourth proportional to 2,686.72, 4,030.32 and 738.93 is: 1,108.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.72 : 4,030.32 = 738.93 : x
  2. Step 2: Convert to fraction form
    2,686.72/4,030.32 = 738.93/x
  3. Step 3: Cross multiply
    2,686.72x = 4,030.32 × 738.93
  4. Step 4: Simplify right side
    2,686.72x = 2,978,124.36
  5. Step 5: Solve for x
    x = 2,978,124.36/2,686.72
  6. Step 6: Final answer
    x = 1,108.46

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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.