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Finding the Fourth Proportional to 2,599.64, 3,578.16 and 2,175.34

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Solution

The fourth proportional to 2,599.64, 3,578.16 and 2,175.34 is: 2,994.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.64 : 3,578.16 = 2,175.34 : x
  2. Step 2: Convert to fraction form
    2,599.64/3,578.16 = 2,175.34/x
  3. Step 3: Cross multiply
    2,599.64x = 3,578.16 × 2,175.34
  4. Step 4: Simplify right side
    2,599.64x = 7,783,714.57
  5. Step 5: Solve for x
    x = 7,783,714.57/2,599.64
  6. Step 6: Final answer
    x = 2,994.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.