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Finding the Fourth Proportional to 2,397.34, 3,308.16 and 1,335.07

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Solution

The fourth proportional to 2,397.34, 3,308.16 and 1,335.07 is: 1,842.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.34 : 3,308.16 = 1,335.07 : x
  2. Step 2: Convert to fraction form
    2,397.34/3,308.16 = 1,335.07/x
  3. Step 3: Cross multiply
    2,397.34x = 3,308.16 × 1,335.07
  4. Step 4: Simplify right side
    2,397.34x = 4,416,625.17
  5. Step 5: Solve for x
    x = 4,416,625.17/2,397.34
  6. Step 6: Final answer
    x = 1,842.30

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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.