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Finding the Fourth Proportional to 2,358.13, 3,254.10 and 1,310.14

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Solution

The fourth proportional to 2,358.13, 3,254.10 and 1,310.14 is: 1,807.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.13 : 3,254.10 = 1,310.14 : x
  2. Step 2: Convert to fraction form
    2,358.13/3,254.10 = 1,310.14/x
  3. Step 3: Cross multiply
    2,358.13x = 3,254.10 × 1,310.14
  4. Step 4: Simplify right side
    2,358.13x = 4,263,326.57
  5. Step 5: Solve for x
    x = 4,263,326.57/2,358.13
  6. Step 6: Final answer
    x = 1,807.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.