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Finding the Fourth Proportional to 2,026.64, 3,038.02 and 639.02

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Solution

The fourth proportional to 2,026.64, 3,038.02 and 639.02 is: 957.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.64 : 3,038.02 = 639.02 : x
  2. Step 2: Convert to fraction form
    2,026.64/3,038.02 = 639.02/x
  3. Step 3: Cross multiply
    2,026.64x = 3,038.02 × 639.02
  4. Step 4: Simplify right side
    2,026.64x = 1,941,355.54
  5. Step 5: Solve for x
    x = 1,941,355.54/2,026.64
  6. Step 6: Final answer
    x = 957.92

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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.