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Finding the Fourth Proportional to 1,655.06, 2,482.47 and 1,193.67

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Solution

The fourth proportional to 1,655.06, 2,482.47 and 1,193.67 is: 1,790.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.06 : 2,482.47 = 1,193.67 : x
  2. Step 2: Convert to fraction form
    1,655.06/2,482.47 = 1,193.67/x
  3. Step 3: Cross multiply
    1,655.06x = 2,482.47 × 1,193.67
  4. Step 4: Simplify right side
    1,655.06x = 2,963,249.96
  5. Step 5: Solve for x
    x = 2,963,249.96/1,655.06
  6. Step 6: Final answer
    x = 1,790.42

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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.