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Finding the Fourth Proportional to 2,386.08, 3,576.96 and 846

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Solution

The fourth proportional to 2,386.08, 3,576.96 and 846 is: 1,268.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.08 : 3,576.96 = 846 : x
  2. Step 2: Convert to fraction form
    2,386.08/3,576.96 = 846/x
  3. Step 3: Cross multiply
    2,386.08x = 3,576.96 × 846
  4. Step 4: Simplify right side
    2,386.08x = 3,026,108.16
  5. Step 5: Solve for x
    x = 3,026,108.16/2,386.08
  6. Step 6: Final answer
    x = 1,268.23

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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.