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Finding the Fourth Proportional to 1,718.66, 2,577.96 and 486.06

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Solution

The fourth proportional to 1,718.66, 2,577.96 and 486.06 is: 729.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,718.66 : 2,577.96 = 486.06 : x
  2. Step 2: Convert to fraction form
    1,718.66/2,577.96 = 486.06/x
  3. Step 3: Cross multiply
    1,718.66x = 2,577.96 × 486.06
  4. Step 4: Simplify right side
    1,718.66x = 1,253,043.24
  5. Step 5: Solve for x
    x = 1,253,043.24/1,718.66
  6. Step 6: Final answer
    x = 729.08

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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.