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Finding the Fourth Proportional to 2,869.00, 4,303.64 and 921.22

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Solution

The fourth proportional to 2,869.00, 4,303.64 and 921.22 is: 1,381.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.00 : 4,303.64 = 921.22 : x
  2. Step 2: Convert to fraction form
    2,869.00/4,303.64 = 921.22/x
  3. Step 3: Cross multiply
    2,869.00x = 4,303.64 × 921.22
  4. Step 4: Simplify right side
    2,869.00x = 3,964,590.78
  5. Step 5: Solve for x
    x = 3,964,590.78/2,869.00
  6. Step 6: Final answer
    x = 1,381.87

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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.