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Finding the Fourth Proportional to 4,397, 6,595.50 and 1,319

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Solution

The fourth proportional to 4,397, 6,595.50 and 1,319 is: 1,978.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,397 : 6,595.50 = 1,319 : x
  2. Step 2: Convert to fraction form
    4,397/6,595.50 = 1,319/x
  3. Step 3: Cross multiply
    4,397x = 6,595.50 × 1,319
  4. Step 4: Simplify right side
    4,397x = 8,699,464.50
  5. Step 5: Solve for x
    x = 8,699,464.50/4,397
  6. Step 6: Final answer
    x = 1,978.50

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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.