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Finding the Fourth Proportional to 1,575.23, 2,173.89 and 903.03

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Solution

The fourth proportional to 1,575.23, 2,173.89 and 903.03 is: 1,246.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.23 : 2,173.89 = 903.03 : x
  2. Step 2: Convert to fraction form
    1,575.23/2,173.89 = 903.03/x
  3. Step 3: Cross multiply
    1,575.23x = 2,173.89 × 903.03
  4. Step 4: Simplify right side
    1,575.23x = 1,963,087.89
  5. Step 5: Solve for x
    x = 1,963,087.89/1,575.23
  6. Step 6: Final answer
    x = 1,246.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.