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Finding the Fourth Proportional to 2,676.54, 4,011.75 and 1,032.24

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Solution

The fourth proportional to 2,676.54, 4,011.75 and 1,032.24 is: 1,547.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.54 : 4,011.75 = 1,032.24 : x
  2. Step 2: Convert to fraction form
    2,676.54/4,011.75 = 1,032.24/x
  3. Step 3: Cross multiply
    2,676.54x = 4,011.75 × 1,032.24
  4. Step 4: Simplify right side
    2,676.54x = 4,141,088.82
  5. Step 5: Solve for x
    x = 4,141,088.82/2,676.54
  6. Step 6: Final answer
    x = 1,547.18

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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.