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Finding the Fourth Proportional to 2,594.61, 3,580.02 and 1,796.67

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Solution

The fourth proportional to 2,594.61, 3,580.02 and 1,796.67 is: 2,479.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.61 : 3,580.02 = 1,796.67 : x
  2. Step 2: Convert to fraction form
    2,594.61/3,580.02 = 1,796.67/x
  3. Step 3: Cross multiply
    2,594.61x = 3,580.02 × 1,796.67
  4. Step 4: Simplify right side
    2,594.61x = 6,432,114.53
  5. Step 5: Solve for x
    x = 6,432,114.53/2,594.61
  6. Step 6: Final answer
    x = 2,479.03

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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.