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Finding the Fourth Proportional to 2,903.33, 4,006.47 and 1,577.00

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Solution

The fourth proportional to 2,903.33, 4,006.47 and 1,577.00 is: 2,176.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.33 : 4,006.47 = 1,577.00 : x
  2. Step 2: Convert to fraction form
    2,903.33/4,006.47 = 1,577.00/x
  3. Step 3: Cross multiply
    2,903.33x = 4,006.47 × 1,577.00
  4. Step 4: Simplify right side
    2,903.33x = 6,318,183.16
  5. Step 5: Solve for x
    x = 6,318,183.16/2,903.33
  6. Step 6: Final answer
    x = 2,176.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.