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Finding the Fourth Proportional to 1,897.17, 2,617.36 and 1,401

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Solution

The fourth proportional to 1,897.17, 2,617.36 and 1,401 is: 1,932.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.17 : 2,617.36 = 1,401 : x
  2. Step 2: Convert to fraction form
    1,897.17/2,617.36 = 1,401/x
  3. Step 3: Cross multiply
    1,897.17x = 2,617.36 × 1,401
  4. Step 4: Simplify right side
    1,897.17x = 3,666,921.36
  5. Step 5: Solve for x
    x = 3,666,921.36/1,897.17
  6. Step 6: Final answer
    x = 1,932.84

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