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Finding the Fourth Proportional to 1,357.85, 2,034.72 and 1,220.15

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Solution

The fourth proportional to 1,357.85, 2,034.72 and 1,220.15 is: 1,828.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.85 : 2,034.72 = 1,220.15 : x
  2. Step 2: Convert to fraction form
    1,357.85/2,034.72 = 1,220.15/x
  3. Step 3: Cross multiply
    1,357.85x = 2,034.72 × 1,220.15
  4. Step 4: Simplify right side
    1,357.85x = 2,482,653.43
  5. Step 5: Solve for x
    x = 2,482,653.43/1,357.85
  6. Step 6: Final answer
    x = 1,828.38

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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.