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Finding the Fourth Proportional to 2,709.84, 4,045.11 and 2,381.79

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Solution

The fourth proportional to 2,709.84, 4,045.11 and 2,381.79 is: 3,555.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.84 : 4,045.11 = 2,381.79 : x
  2. Step 2: Convert to fraction form
    2,709.84/4,045.11 = 2,381.79/x
  3. Step 3: Cross multiply
    2,709.84x = 4,045.11 × 2,381.79
  4. Step 4: Simplify right side
    2,709.84x = 9,634,602.55
  5. Step 5: Solve for x
    x = 9,634,602.55/2,709.84
  6. Step 6: Final answer
    x = 3,555.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.