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Finding the Fourth Proportional to 2,025.34, 3,038.04 and 564.50

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Solution

The fourth proportional to 2,025.34, 3,038.04 and 564.50 is: 846.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025.34 : 3,038.04 = 564.50 : x
  2. Step 2: Convert to fraction form
    2,025.34/3,038.04 = 564.50/x
  3. Step 3: Cross multiply
    2,025.34x = 3,038.04 × 564.50
  4. Step 4: Simplify right side
    2,025.34x = 1,714,981.18
  5. Step 5: Solve for x
    x = 1,714,981.18/2,025.34
  6. Step 6: Final answer
    x = 846.76

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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.