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Finding the Fourth Proportional to 2,611.96, 3,913.62 and 2,547.16

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Solution

The fourth proportional to 2,611.96, 3,913.62 and 2,547.16 is: 3,816.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.96 : 3,913.62 = 2,547.16 : x
  2. Step 2: Convert to fraction form
    2,611.96/3,913.62 = 2,547.16/x
  3. Step 3: Cross multiply
    2,611.96x = 3,913.62 × 2,547.16
  4. Step 4: Simplify right side
    2,611.96x = 9,968,616.32
  5. Step 5: Solve for x
    x = 9,968,616.32/2,611.96
  6. Step 6: Final answer
    x = 3,816.53

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1.5x scale

Why These Related Problems?

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