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Finding the Fourth Proportional to 2,604.35, 3,594.65 and 1,766.46

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Solution

The fourth proportional to 2,604.35, 3,594.65 and 1,766.46 is: 2,438.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.35 : 3,594.65 = 1,766.46 : x
  2. Step 2: Convert to fraction form
    2,604.35/3,594.65 = 1,766.46/x
  3. Step 3: Cross multiply
    2,604.35x = 3,594.65 × 1,766.46
  4. Step 4: Simplify right side
    2,604.35x = 6,349,804.77
  5. Step 5: Solve for x
    x = 6,349,804.77/2,604.35
  6. Step 6: Final answer
    x = 2,438.15

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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.