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Finding the Fourth Proportional to 3,335.90, 4,602.54 and 2,342

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Solution

The fourth proportional to 3,335.90, 4,602.54 and 2,342 is: 3,231.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,335.90 : 4,602.54 = 2,342 : x
  2. Step 2: Convert to fraction form
    3,335.90/4,602.54 = 2,342/x
  3. Step 3: Cross multiply
    3,335.90x = 4,602.54 × 2,342
  4. Step 4: Simplify right side
    3,335.90x = 10,779,148.68
  5. Step 5: Solve for x
    x = 10,779,148.68/3,335.90
  6. Step 6: Final answer
    x = 3,231.26

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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.