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Finding the Fourth Proportional to 3,064.64, 4,228.00 and 1,804.88

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Solution

The fourth proportional to 3,064.64, 4,228.00 and 1,804.88 is: 2,490.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.64 : 4,228.00 = 1,804.88 : x
  2. Step 2: Convert to fraction form
    3,064.64/4,228.00 = 1,804.88/x
  3. Step 3: Cross multiply
    3,064.64x = 4,228.00 × 1,804.88
  4. Step 4: Simplify right side
    3,064.64x = 7,631,038.70
  5. Step 5: Solve for x
    x = 7,631,038.70/3,064.64
  6. Step 6: Final answer
    x = 2,490.03

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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.