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Finding the Fourth Proportional to 2,153.46, 3,225.96 and 1,420.86

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Solution

The fourth proportional to 2,153.46, 3,225.96 and 1,420.86 is: 2,128.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.46 : 3,225.96 = 1,420.86 : x
  2. Step 2: Convert to fraction form
    2,153.46/3,225.96 = 1,420.86/x
  3. Step 3: Cross multiply
    2,153.46x = 3,225.96 × 1,420.86
  4. Step 4: Simplify right side
    2,153.46x = 4,583,637.53
  5. Step 5: Solve for x
    x = 4,583,637.53/2,153.46
  6. Step 6: Final answer
    x = 2,128.50

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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.