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Finding the Fourth Proportional to 1,862.12, 2,567.80 and 1,597.48

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Solution

The fourth proportional to 1,862.12, 2,567.80 and 1,597.48 is: 2,202.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.12 : 2,567.80 = 1,597.48 : x
  2. Step 2: Convert to fraction form
    1,862.12/2,567.80 = 1,597.48/x
  3. Step 3: Cross multiply
    1,862.12x = 2,567.80 × 1,597.48
  4. Step 4: Simplify right side
    1,862.12x = 4,102,009.14
  5. Step 5: Solve for x
    x = 4,102,009.14/1,862.12
  6. Step 6: Final answer
    x = 2,202.87

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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.