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Finding the Fourth Proportional to 1,938.51, 2,903.24 and 1,417.21

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Solution

The fourth proportional to 1,938.51, 2,903.24 and 1,417.21 is: 2,122.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.51 : 2,903.24 = 1,417.21 : x
  2. Step 2: Convert to fraction form
    1,938.51/2,903.24 = 1,417.21/x
  3. Step 3: Cross multiply
    1,938.51x = 2,903.24 × 1,417.21
  4. Step 4: Simplify right side
    1,938.51x = 4,114,497.05
  5. Step 5: Solve for x
    x = 4,114,497.05/1,938.51
  6. Step 6: Final answer
    x = 2,122.50

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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.