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Finding the Fourth Proportional to 1,522.58, 2,101.17 and 893.48

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Solution

The fourth proportional to 1,522.58, 2,101.17 and 893.48 is: 1,233.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.58 : 2,101.17 = 893.48 : x
  2. Step 2: Convert to fraction form
    1,522.58/2,101.17 = 893.48/x
  3. Step 3: Cross multiply
    1,522.58x = 2,101.17 × 893.48
  4. Step 4: Simplify right side
    1,522.58x = 1,877,342.87
  5. Step 5: Solve for x
    x = 1,877,342.87/1,522.58
  6. Step 6: Final answer
    x = 1,233.01

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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.