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Finding the Fourth Proportional to 2,455.59, 3,681.20 and 895.30

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Solution

The fourth proportional to 2,455.59, 3,681.20 and 895.30 is: 1,342.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.59 : 3,681.20 = 895.30 : x
  2. Step 2: Convert to fraction form
    2,455.59/3,681.20 = 895.30/x
  3. Step 3: Cross multiply
    2,455.59x = 3,681.20 × 895.30
  4. Step 4: Simplify right side
    2,455.59x = 3,295,759.95
  5. Step 5: Solve for x
    x = 3,295,759.95/2,455.59
  6. Step 6: Final answer
    x = 1,342.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.