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Finding the Fourth Proportional to 1,938.63, 2,908.41 and 899.35

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Solution

The fourth proportional to 1,938.63, 2,908.41 and 899.35 is: 1,349.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.63 : 2,908.41 = 899.35 : x
  2. Step 2: Convert to fraction form
    1,938.63/2,908.41 = 899.35/x
  3. Step 3: Cross multiply
    1,938.63x = 2,908.41 × 899.35
  4. Step 4: Simplify right side
    1,938.63x = 2,615,684.25
  5. Step 5: Solve for x
    x = 2,615,684.25/1,938.63
  6. Step 6: Final answer
    x = 1,349.24

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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.