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Finding the Fourth Proportional to 1,388.64, 2,085.66 and 1,021.98

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Solution

The fourth proportional to 1,388.64, 2,085.66 and 1,021.98 is: 1,534.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.64 : 2,085.66 = 1,021.98 : x
  2. Step 2: Convert to fraction form
    1,388.64/2,085.66 = 1,021.98/x
  3. Step 3: Cross multiply
    1,388.64x = 2,085.66 × 1,021.98
  4. Step 4: Simplify right side
    1,388.64x = 2,131,502.81
  5. Step 5: Solve for x
    x = 2,131,502.81/1,388.64
  6. Step 6: Final answer
    x = 1,534.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.