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Finding the Fourth Proportional to 2,547.20, 3,813.60 and 2,259.20

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Solution

The fourth proportional to 2,547.20, 3,813.60 and 2,259.20 is: 3,382.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.20 : 3,813.60 = 2,259.20 : x
  2. Step 2: Convert to fraction form
    2,547.20/3,813.60 = 2,259.20/x
  3. Step 3: Cross multiply
    2,547.20x = 3,813.60 × 2,259.20
  4. Step 4: Simplify right side
    2,547.20x = 8,615,685.12
  5. Step 5: Solve for x
    x = 8,615,685.12/2,547.20
  6. Step 6: Final answer
    x = 3,382.41

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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.