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Finding the Fourth Proportional to 2,142.42, 2,955.08 and 1,612.68

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Solution

The fourth proportional to 2,142.42, 2,955.08 and 1,612.68 is: 2,224.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.42 : 2,955.08 = 1,612.68 : x
  2. Step 2: Convert to fraction form
    2,142.42/2,955.08 = 1,612.68/x
  3. Step 3: Cross multiply
    2,142.42x = 2,955.08 × 1,612.68
  4. Step 4: Simplify right side
    2,142.42x = 4,765,598.41
  5. Step 5: Solve for x
    x = 4,765,598.41/2,142.42
  6. Step 6: Final answer
    x = 2,224.40

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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.