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Finding the Fourth Proportional to 1,881.40, 2,822.40 and 785.20

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Solution

The fourth proportional to 1,881.40, 2,822.40 and 785.20 is: 1,177.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.40 : 2,822.40 = 785.20 : x
  2. Step 2: Convert to fraction form
    1,881.40/2,822.40 = 785.20/x
  3. Step 3: Cross multiply
    1,881.40x = 2,822.40 × 785.20
  4. Step 4: Simplify right side
    1,881.40x = 2,216,148.48
  5. Step 5: Solve for x
    x = 2,216,148.48/1,881.40
  6. Step 6: Final answer
    x = 1,177.93

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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.