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Finding the Fourth Proportional to 2,479.48, 3,714.32 and 1,784.50

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Solution

The fourth proportional to 2,479.48, 3,714.32 and 1,784.50 is: 2,673.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,479.48 : 3,714.32 = 1,784.50 : x
  2. Step 2: Convert to fraction form
    2,479.48/3,714.32 = 1,784.50/x
  3. Step 3: Cross multiply
    2,479.48x = 3,714.32 × 1,784.50
  4. Step 4: Simplify right side
    2,479.48x = 6,628,199.22
  5. Step 5: Solve for x
    x = 6,628,199.22/2,479.48
  6. Step 6: Final answer
    x = 2,673.22

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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.