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Finding the Fourth Proportional to 1,701.74, 2,350.19 and 1,172.00

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Solution

The fourth proportional to 1,701.74, 2,350.19 and 1,172.00 is: 1,618.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.74 : 2,350.19 = 1,172.00 : x
  2. Step 2: Convert to fraction form
    1,701.74/2,350.19 = 1,172.00/x
  3. Step 3: Cross multiply
    1,701.74x = 2,350.19 × 1,172.00
  4. Step 4: Simplify right side
    1,701.74x = 2,754,405.07
  5. Step 5: Solve for x
    x = 2,754,405.07/1,701.74
  6. Step 6: Final answer
    x = 1,618.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.