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Finding the Fourth Proportional to 2,709.42, 4,065.75 and 1,555.98

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Solution

The fourth proportional to 2,709.42, 4,065.75 and 1,555.98 is: 2,334.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.42 : 4,065.75 = 1,555.98 : x
  2. Step 2: Convert to fraction form
    2,709.42/4,065.75 = 1,555.98/x
  3. Step 3: Cross multiply
    2,709.42x = 4,065.75 × 1,555.98
  4. Step 4: Simplify right side
    2,709.42x = 6,326,225.69
  5. Step 5: Solve for x
    x = 6,326,225.69/2,709.42
  6. Step 6: Final answer
    x = 2,334.90

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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.