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Finding the Fourth Proportional to 2,357.13, 3,535.29 and 895.89

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Solution

The fourth proportional to 2,357.13, 3,535.29 and 895.89 is: 1,343.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.13 : 3,535.29 = 895.89 : x
  2. Step 2: Convert to fraction form
    2,357.13/3,535.29 = 895.89/x
  3. Step 3: Cross multiply
    2,357.13x = 3,535.29 × 895.89
  4. Step 4: Simplify right side
    2,357.13x = 3,167,230.96
  5. Step 5: Solve for x
    x = 3,167,230.96/2,357.13
  6. Step 6: Final answer
    x = 1,343.68

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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.