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Finding the Fourth Proportional to 2,385.84, 3,567.80 and 2,269.20

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Solution

The fourth proportional to 2,385.84, 3,567.80 and 2,269.20 is: 3,393.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.84 : 3,567.80 = 2,269.20 : x
  2. Step 2: Convert to fraction form
    2,385.84/3,567.80 = 2,269.20/x
  3. Step 3: Cross multiply
    2,385.84x = 3,567.80 × 2,269.20
  4. Step 4: Simplify right side
    2,385.84x = 8,096,051.76
  5. Step 5: Solve for x
    x = 8,096,051.76/2,385.84
  6. Step 6: Final answer
    x = 3,393.38

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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.