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Finding the Fourth Proportional to 2,378.40, 3,567.74 and 917.56

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Solution

The fourth proportional to 2,378.40, 3,567.74 and 917.56 is: 1,376.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.40 : 3,567.74 = 917.56 : x
  2. Step 2: Convert to fraction form
    2,378.40/3,567.74 = 917.56/x
  3. Step 3: Cross multiply
    2,378.40x = 3,567.74 × 917.56
  4. Step 4: Simplify right side
    2,378.40x = 3,273,615.51
  5. Step 5: Solve for x
    x = 3,273,615.51/2,378.40
  6. Step 6: Final answer
    x = 1,376.39

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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.