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Finding the Fourth Proportional to 3,172.50, 4,759.14 and 1,417.50

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Solution

The fourth proportional to 3,172.50, 4,759.14 and 1,417.50 is: 2,126.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.50 : 4,759.14 = 1,417.50 : x
  2. Step 2: Convert to fraction form
    3,172.50/4,759.14 = 1,417.50/x
  3. Step 3: Cross multiply
    3,172.50x = 4,759.14 × 1,417.50
  4. Step 4: Simplify right side
    3,172.50x = 6,746,080.95
  5. Step 5: Solve for x
    x = 6,746,080.95/3,172.50
  6. Step 6: Final answer
    x = 2,126.42

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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.