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Finding the Fourth Proportional to 2,577.88, 3,552.04 and 1,748.44

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Solution

The fourth proportional to 2,577.88, 3,552.04 and 1,748.44 is: 2,409.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.88 : 3,552.04 = 1,748.44 : x
  2. Step 2: Convert to fraction form
    2,577.88/3,552.04 = 1,748.44/x
  3. Step 3: Cross multiply
    2,577.88x = 3,552.04 × 1,748.44
  4. Step 4: Simplify right side
    2,577.88x = 6,210,528.82
  5. Step 5: Solve for x
    x = 6,210,528.82/2,577.88
  6. Step 6: Final answer
    x = 2,409.16

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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.