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Finding the Fourth Proportional to 2,783.35, 4,166.65 and 1,684.32

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Solution

The fourth proportional to 2,783.35, 4,166.65 and 1,684.32 is: 2,521.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.35 : 4,166.65 = 1,684.32 : x
  2. Step 2: Convert to fraction form
    2,783.35/4,166.65 = 1,684.32/x
  3. Step 3: Cross multiply
    2,783.35x = 4,166.65 × 1,684.32
  4. Step 4: Simplify right side
    2,783.35x = 7,017,971.93
  5. Step 5: Solve for x
    x = 7,017,971.93/2,783.35
  6. Step 6: Final answer
    x = 2,521.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.