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Finding the Fourth Proportional to 2,865.02, 4,289.01 and 1,562.54

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Solution

The fourth proportional to 2,865.02, 4,289.01 and 1,562.54 is: 2,339.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.02 : 4,289.01 = 1,562.54 : x
  2. Step 2: Convert to fraction form
    2,865.02/4,289.01 = 1,562.54/x
  3. Step 3: Cross multiply
    2,865.02x = 4,289.01 × 1,562.54
  4. Step 4: Simplify right side
    2,865.02x = 6,701,728.24
  5. Step 5: Solve for x
    x = 6,701,728.24/2,865.02
  6. Step 6: Final answer
    x = 2,339.16

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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.