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Finding the Fourth Proportional to 2,317.60, 3,476.40 and 778.60

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Solution

The fourth proportional to 2,317.60, 3,476.40 and 778.60 is: 1,167.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.60 : 3,476.40 = 778.60 : x
  2. Step 2: Convert to fraction form
    2,317.60/3,476.40 = 778.60/x
  3. Step 3: Cross multiply
    2,317.60x = 3,476.40 × 778.60
  4. Step 4: Simplify right side
    2,317.60x = 2,706,725.04
  5. Step 5: Solve for x
    x = 2,706,725.04/2,317.60
  6. Step 6: Final answer
    x = 1,167.90

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Why These Related Problems?

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