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Finding the Fourth Proportional to 2,392.34, 3,303.15 and 1,597.55

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Solution

The fourth proportional to 2,392.34, 3,303.15 and 1,597.55 is: 2,205.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.34 : 3,303.15 = 1,597.55 : x
  2. Step 2: Convert to fraction form
    2,392.34/3,303.15 = 1,597.55/x
  3. Step 3: Cross multiply
    2,392.34x = 3,303.15 × 1,597.55
  4. Step 4: Simplify right side
    2,392.34x = 5,276,947.28
  5. Step 5: Solve for x
    x = 5,276,947.28/2,392.34
  6. Step 6: Final answer
    x = 2,205.77

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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.