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Finding the Fourth Proportional to 2,508.33, 3,761.45 and 948.06

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Solution

The fourth proportional to 2,508.33, 3,761.45 and 948.06 is: 1,421.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.33 : 3,761.45 = 948.06 : x
  2. Step 2: Convert to fraction form
    2,508.33/3,761.45 = 948.06/x
  3. Step 3: Cross multiply
    2,508.33x = 3,761.45 × 948.06
  4. Step 4: Simplify right side
    2,508.33x = 3,566,080.29
  5. Step 5: Solve for x
    x = 3,566,080.29/2,508.33
  6. Step 6: Final answer
    x = 1,421.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.