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Finding the Fourth Proportional to 2,984, 4,118.16 and 1,742.24

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Solution

The fourth proportional to 2,984, 4,118.16 and 1,742.24 is: 2,404.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984 : 4,118.16 = 1,742.24 : x
  2. Step 2: Convert to fraction form
    2,984/4,118.16 = 1,742.24/x
  3. Step 3: Cross multiply
    2,984x = 4,118.16 × 1,742.24
  4. Step 4: Simplify right side
    2,984x = 7,174,823.08
  5. Step 5: Solve for x
    x = 7,174,823.08/2,984
  6. Step 6: Final answer
    x = 2,404.43

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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.