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Finding the Fourth Proportional to 2,387.68, 3,583.84 and 2,256.20

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Solution

The fourth proportional to 2,387.68, 3,583.84 and 2,256.20 is: 3,386.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.68 : 3,583.84 = 2,256.20 : x
  2. Step 2: Convert to fraction form
    2,387.68/3,583.84 = 2,256.20/x
  3. Step 3: Cross multiply
    2,387.68x = 3,583.84 × 2,256.20
  4. Step 4: Simplify right side
    2,387.68x = 8,085,859.81
  5. Step 5: Solve for x
    x = 8,085,859.81/2,387.68
  6. Step 6: Final answer
    x = 3,386.49

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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.