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Finding the Fourth Proportional to 3,402.40, 4,695.63 and 1,985.98

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Solution

The fourth proportional to 3,402.40, 4,695.63 and 1,985.98 is: 2,740.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.40 : 4,695.63 = 1,985.98 : x
  2. Step 2: Convert to fraction form
    3,402.40/4,695.63 = 1,985.98/x
  3. Step 3: Cross multiply
    3,402.40x = 4,695.63 × 1,985.98
  4. Step 4: Simplify right side
    3,402.40x = 9,325,427.27
  5. Step 5: Solve for x
    x = 9,325,427.27/3,402.40
  6. Step 6: Final answer
    x = 2,740.84

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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.