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Finding the Fourth Proportional to 2,547.15, 3,819.93 and 987.05

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Solution

The fourth proportional to 2,547.15, 3,819.93 and 987.05 is: 1,480.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.15 : 3,819.93 = 987.05 : x
  2. Step 2: Convert to fraction form
    2,547.15/3,819.93 = 987.05/x
  3. Step 3: Cross multiply
    2,547.15x = 3,819.93 × 987.05
  4. Step 4: Simplify right side
    2,547.15x = 3,770,452.36
  5. Step 5: Solve for x
    x = 3,770,452.36/2,547.15
  6. Step 6: Final answer
    x = 1,480.26

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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.