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Finding the Fourth Proportional to 1,312.09, 1,811.05 and 893.14

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Solution

The fourth proportional to 1,312.09, 1,811.05 and 893.14 is: 1,232.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.09 : 1,811.05 = 893.14 : x
  2. Step 2: Convert to fraction form
    1,312.09/1,811.05 = 893.14/x
  3. Step 3: Cross multiply
    1,312.09x = 1,811.05 × 893.14
  4. Step 4: Simplify right side
    1,312.09x = 1,617,523.37
  5. Step 5: Solve for x
    x = 1,617,523.37/1,312.09
  6. Step 6: Final answer
    x = 1,232.78

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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.