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Finding the Fourth Proportional to 1,931.45, 2,893.28 and 890.01

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Solution

The fourth proportional to 1,931.45, 2,893.28 and 890.01 is: 1,333.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.45 : 2,893.28 = 890.01 : x
  2. Step 2: Convert to fraction form
    1,931.45/2,893.28 = 890.01/x
  3. Step 3: Cross multiply
    1,931.45x = 2,893.28 × 890.01
  4. Step 4: Simplify right side
    1,931.45x = 2,575,043.68
  5. Step 5: Solve for x
    x = 2,575,043.68/1,931.45
  6. Step 6: Final answer
    x = 1,333.22

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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.