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Finding the Fourth Proportional to 1,945.17, 2,917.26 and 904.14

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Solution

The fourth proportional to 1,945.17, 2,917.26 and 904.14 is: 1,355.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.17 : 2,917.26 = 904.14 : x
  2. Step 2: Convert to fraction form
    1,945.17/2,917.26 = 904.14/x
  3. Step 3: Cross multiply
    1,945.17x = 2,917.26 × 904.14
  4. Step 4: Simplify right side
    1,945.17x = 2,637,611.46
  5. Step 5: Solve for x
    x = 2,637,611.46/1,945.17
  6. Step 6: Final answer
    x = 1,355.98

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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.