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Finding the Fourth Proportional to 1,659.84, 2,290.56 and 913.78

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Solution

The fourth proportional to 1,659.84, 2,290.56 and 913.78 is: 1,261.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.84 : 2,290.56 = 913.78 : x
  2. Step 2: Convert to fraction form
    1,659.84/2,290.56 = 913.78/x
  3. Step 3: Cross multiply
    1,659.84x = 2,290.56 × 913.78
  4. Step 4: Simplify right side
    1,659.84x = 2,093,070.20
  5. Step 5: Solve for x
    x = 2,093,070.20/1,659.84
  6. Step 6: Final answer
    x = 1,261.01

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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.