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Finding the Fourth Proportional to 2,235.61, 3,349.16 and 1,358.38

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Solution

The fourth proportional to 2,235.61, 3,349.16 and 1,358.38 is: 2,034.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.61 : 3,349.16 = 1,358.38 : x
  2. Step 2: Convert to fraction form
    2,235.61/3,349.16 = 1,358.38/x
  3. Step 3: Cross multiply
    2,235.61x = 3,349.16 × 1,358.38
  4. Step 4: Simplify right side
    2,235.61x = 4,549,431.96
  5. Step 5: Solve for x
    x = 4,549,431.96/2,235.61
  6. Step 6: Final answer
    x = 2,034.98

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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.