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Finding the Fourth Proportional to 2,347.58, 3,238.75 and 1,508.17

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Solution

The fourth proportional to 2,347.58, 3,238.75 and 1,508.17 is: 2,080.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.58 : 3,238.75 = 1,508.17 : x
  2. Step 2: Convert to fraction form
    2,347.58/3,238.75 = 1,508.17/x
  3. Step 3: Cross multiply
    2,347.58x = 3,238.75 × 1,508.17
  4. Step 4: Simplify right side
    2,347.58x = 4,884,585.45
  5. Step 5: Solve for x
    x = 4,884,585.45/2,347.58
  6. Step 6: Final answer
    x = 2,080.69

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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.