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Finding the Fourth Proportional to 2,547.56, 3,801.78 and 2,532.96

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Solution

The fourth proportional to 2,547.56, 3,801.78 and 2,532.96 is: 3,779.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.56 : 3,801.78 = 2,532.96 : x
  2. Step 2: Convert to fraction form
    2,547.56/3,801.78 = 2,532.96/x
  3. Step 3: Cross multiply
    2,547.56x = 3,801.78 × 2,532.96
  4. Step 4: Simplify right side
    2,547.56x = 9,629,756.67
  5. Step 5: Solve for x
    x = 9,629,756.67/2,547.56
  6. Step 6: Final answer
    x = 3,779.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.