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Finding the Fourth Proportional to 2,569.67, 3,855.53 and 1,530.16

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Solution

The fourth proportional to 2,569.67, 3,855.53 and 1,530.16 is: 2,295.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.67 : 3,855.53 = 1,530.16 : x
  2. Step 2: Convert to fraction form
    2,569.67/3,855.53 = 1,530.16/x
  3. Step 3: Cross multiply
    2,569.67x = 3,855.53 × 1,530.16
  4. Step 4: Simplify right side
    2,569.67x = 5,899,570.13
  5. Step 5: Solve for x
    x = 5,899,570.13/2,569.67
  6. Step 6: Final answer
    x = 2,295.85

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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.