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Finding the Fourth Proportional to 2,856.03, 3,941.19 and 1,597.02

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Solution

The fourth proportional to 2,856.03, 3,941.19 and 1,597.02 is: 2,203.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.03 : 3,941.19 = 1,597.02 : x
  2. Step 2: Convert to fraction form
    2,856.03/3,941.19 = 1,597.02/x
  3. Step 3: Cross multiply
    2,856.03x = 3,941.19 × 1,597.02
  4. Step 4: Simplify right side
    2,856.03x = 6,294,159.25
  5. Step 5: Solve for x
    x = 6,294,159.25/2,856.03
  6. Step 6: Final answer
    x = 2,203.81

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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.