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Finding the Fourth Proportional to 1,985.34, 2,958.20 and 1,897.02

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Solution

The fourth proportional to 1,985.34, 2,958.20 and 1,897.02 is: 2,826.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.34 : 2,958.20 = 1,897.02 : x
  2. Step 2: Convert to fraction form
    1,985.34/2,958.20 = 1,897.02/x
  3. Step 3: Cross multiply
    1,985.34x = 2,958.20 × 1,897.02
  4. Step 4: Simplify right side
    1,985.34x = 5,611,764.56
  5. Step 5: Solve for x
    x = 5,611,764.56/1,985.34
  6. Step 6: Final answer
    x = 2,826.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.