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Finding the Fourth Proportional to 2,358, 3,254.04 and 1,310.27

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Solution

The fourth proportional to 2,358, 3,254.04 and 1,310.27 is: 1,808.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358 : 3,254.04 = 1,310.27 : x
  2. Step 2: Convert to fraction form
    2,358/3,254.04 = 1,310.27/x
  3. Step 3: Cross multiply
    2,358x = 3,254.04 × 1,310.27
  4. Step 4: Simplify right side
    2,358x = 4,263,654.72
  5. Step 5: Solve for x
    x = 4,263,654.72/2,358
  6. Step 6: Final answer
    x = 1,808.17

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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.