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Finding the Fourth Proportional to 3,169, 4,753.50 and 1,345

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Solution

The fourth proportional to 3,169, 4,753.50 and 1,345 is: 2,017.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169 : 4,753.50 = 1,345 : x
  2. Step 2: Convert to fraction form
    3,169/4,753.50 = 1,345/x
  3. Step 3: Cross multiply
    3,169x = 4,753.50 × 1,345
  4. Step 4: Simplify right side
    3,169x = 6,393,457.50
  5. Step 5: Solve for x
    x = 6,393,457.50/3,169
  6. Step 6: Final answer
    x = 2,017.50

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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.