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Finding the Fourth Proportional to 1,675.95, 2,322.60 and 1,652.46

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Solution

The fourth proportional to 1,675.95, 2,322.60 and 1,652.46 is: 2,290.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.95 : 2,322.60 = 1,652.46 : x
  2. Step 2: Convert to fraction form
    1,675.95/2,322.60 = 1,652.46/x
  3. Step 3: Cross multiply
    1,675.95x = 2,322.60 × 1,652.46
  4. Step 4: Simplify right side
    1,675.95x = 3,838,003.60
  5. Step 5: Solve for x
    x = 3,838,003.60/1,675.95
  6. Step 6: Final answer
    x = 2,290.05

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.