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Finding the Fourth Proportional to 1,607.74, 2,412.42 and 742.66

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Solution

The fourth proportional to 1,607.74, 2,412.42 and 742.66 is: 1,114.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.74 : 2,412.42 = 742.66 : x
  2. Step 2: Convert to fraction form
    1,607.74/2,412.42 = 742.66/x
  3. Step 3: Cross multiply
    1,607.74x = 2,412.42 × 742.66
  4. Step 4: Simplify right side
    1,607.74x = 1,791,607.84
  5. Step 5: Solve for x
    x = 1,791,607.84/1,607.74
  6. Step 6: Final answer
    x = 1,114.36

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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.