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Finding the Fourth Proportional to 1,798.85, 2,702.36 and 1,552.82

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Solution

The fourth proportional to 1,798.85, 2,702.36 and 1,552.82 is: 2,332.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.85 : 2,702.36 = 1,552.82 : x
  2. Step 2: Convert to fraction form
    1,798.85/2,702.36 = 1,552.82/x
  3. Step 3: Cross multiply
    1,798.85x = 2,702.36 × 1,552.82
  4. Step 4: Simplify right side
    1,798.85x = 4,196,269.03
  5. Step 5: Solve for x
    x = 4,196,269.03/1,798.85
  6. Step 6: Final answer
    x = 2,332.75

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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.