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Finding the Fourth Proportional to 1,660.68, 2,289.84 and 1,505.16

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Solution

The fourth proportional to 1,660.68, 2,289.84 and 1,505.16 is: 2,075.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.68 : 2,289.84 = 1,505.16 : x
  2. Step 2: Convert to fraction form
    1,660.68/2,289.84 = 1,505.16/x
  3. Step 3: Cross multiply
    1,660.68x = 2,289.84 × 1,505.16
  4. Step 4: Simplify right side
    1,660.68x = 3,446,575.57
  5. Step 5: Solve for x
    x = 3,446,575.57/1,660.68
  6. Step 6: Final answer
    x = 2,075.40

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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.