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Finding the Fourth Proportional to 2,254.51, 3,381.84 and 611.06

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Solution

The fourth proportional to 2,254.51, 3,381.84 and 611.06 is: 916.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.51 : 3,381.84 = 611.06 : x
  2. Step 2: Convert to fraction form
    2,254.51/3,381.84 = 611.06/x
  3. Step 3: Cross multiply
    2,254.51x = 3,381.84 × 611.06
  4. Step 4: Simplify right side
    2,254.51x = 2,066,490.24
  5. Step 5: Solve for x
    x = 2,066,490.24/2,254.51
  6. Step 6: Final answer
    x = 916.60

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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.