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Finding the Fourth Proportional to 2,024.76, 3,037.60 and 564.03

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Solution

The fourth proportional to 2,024.76, 3,037.60 and 564.03 is: 846.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.76 : 3,037.60 = 564.03 : x
  2. Step 2: Convert to fraction form
    2,024.76/3,037.60 = 564.03/x
  3. Step 3: Cross multiply
    2,024.76x = 3,037.60 × 564.03
  4. Step 4: Simplify right side
    2,024.76x = 1,713,298.23
  5. Step 5: Solve for x
    x = 1,713,298.23/2,024.76
  6. Step 6: Final answer
    x = 846.17

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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.