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Finding the Fourth Proportional to 1,660.35, 2,290.12 and 1,155.36

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Solution

The fourth proportional to 1,660.35, 2,290.12 and 1,155.36 is: 1,593.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.35 : 2,290.12 = 1,155.36 : x
  2. Step 2: Convert to fraction form
    1,660.35/2,290.12 = 1,155.36/x
  3. Step 3: Cross multiply
    1,660.35x = 2,290.12 × 1,155.36
  4. Step 4: Simplify right side
    1,660.35x = 2,645,925.24
  5. Step 5: Solve for x
    x = 2,645,925.24/1,660.35
  6. Step 6: Final answer
    x = 1,593.60

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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.