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Finding the Fourth Proportional to 1,701.84, 2,353.14 and 1,623

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Solution

The fourth proportional to 1,701.84, 2,353.14 and 1,623 is: 2,244.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.84 : 2,353.14 = 1,623 : x
  2. Step 2: Convert to fraction form
    1,701.84/2,353.14 = 1,623/x
  3. Step 3: Cross multiply
    1,701.84x = 2,353.14 × 1,623
  4. Step 4: Simplify right side
    1,701.84x = 3,819,146.22
  5. Step 5: Solve for x
    x = 3,819,146.22/1,701.84
  6. Step 6: Final answer
    x = 2,244.13

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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.