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Finding the Fourth Proportional to 1,684.40, 2,527.29 and 903.92

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Solution

The fourth proportional to 1,684.40, 2,527.29 and 903.92 is: 1,356.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.40 : 2,527.29 = 903.92 : x
  2. Step 2: Convert to fraction form
    1,684.40/2,527.29 = 903.92/x
  3. Step 3: Cross multiply
    1,684.40x = 2,527.29 × 903.92
  4. Step 4: Simplify right side
    1,684.40x = 2,284,455.34
  5. Step 5: Solve for x
    x = 2,284,455.34/1,684.40
  6. Step 6: Final answer
    x = 1,356.25

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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.