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Finding the Fourth Proportional to 2,884.74, 4,328.19 and 1,153.50

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Solution

The fourth proportional to 2,884.74, 4,328.19 and 1,153.50 is: 1,730.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.74 : 4,328.19 = 1,153.50 : x
  2. Step 2: Convert to fraction form
    2,884.74/4,328.19 = 1,153.50/x
  3. Step 3: Cross multiply
    2,884.74x = 4,328.19 × 1,153.50
  4. Step 4: Simplify right side
    2,884.74x = 4,992,567.17
  5. Step 5: Solve for x
    x = 4,992,567.17/2,884.74
  6. Step 6: Final answer
    x = 1,730.68

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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.