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Finding the Fourth Proportional to 2,260.02, 3,390.30 and 778.84

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Solution

The fourth proportional to 2,260.02, 3,390.30 and 778.84 is: 1,168.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.02 : 3,390.30 = 778.84 : x
  2. Step 2: Convert to fraction form
    2,260.02/3,390.30 = 778.84/x
  3. Step 3: Cross multiply
    2,260.02x = 3,390.30 × 778.84
  4. Step 4: Simplify right side
    2,260.02x = 2,640,501.25
  5. Step 5: Solve for x
    x = 2,640,501.25/2,260.02
  6. Step 6: Final answer
    x = 1,168.35

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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.