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Finding the Fourth Proportional to 1,606.59, 2,407.91 and 913.84

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Solution

The fourth proportional to 1,606.59, 2,407.91 and 913.84 is: 1,369.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.59 : 2,407.91 = 913.84 : x
  2. Step 2: Convert to fraction form
    1,606.59/2,407.91 = 913.84/x
  3. Step 3: Cross multiply
    1,606.59x = 2,407.91 × 913.84
  4. Step 4: Simplify right side
    1,606.59x = 2,200,427.87
  5. Step 5: Solve for x
    x = 2,200,427.87/1,606.59
  6. Step 6: Final answer
    x = 1,369.63

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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.