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Finding the Fourth Proportional to 1,575.33, 2,173.82 and 912.35

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Solution

The fourth proportional to 1,575.33, 2,173.82 and 912.35 is: 1,258.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.33 : 2,173.82 = 912.35 : x
  2. Step 2: Convert to fraction form
    1,575.33/2,173.82 = 912.35/x
  3. Step 3: Cross multiply
    1,575.33x = 2,173.82 × 912.35
  4. Step 4: Simplify right side
    1,575.33x = 1,983,269.25
  5. Step 5: Solve for x
    x = 1,983,269.25/1,575.33
  6. Step 6: Final answer
    x = 1,258.95

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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.