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Finding the Fourth Proportional to 2,038.64, 3,057.96 and 577.92

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Solution

The fourth proportional to 2,038.64, 3,057.96 and 577.92 is: 866.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.64 : 3,057.96 = 577.92 : x
  2. Step 2: Convert to fraction form
    2,038.64/3,057.96 = 577.92/x
  3. Step 3: Cross multiply
    2,038.64x = 3,057.96 × 577.92
  4. Step 4: Simplify right side
    2,038.64x = 1,767,256.24
  5. Step 5: Solve for x
    x = 1,767,256.24/2,038.64
  6. Step 6: Final answer
    x = 866.88

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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.