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Finding the Fourth Proportional to 2,235.24, 3,345.84 and 1,410.66

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Solution

The fourth proportional to 2,235.24, 3,345.84 and 1,410.66 is: 2,111.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.24 : 3,345.84 = 1,410.66 : x
  2. Step 2: Convert to fraction form
    2,235.24/3,345.84 = 1,410.66/x
  3. Step 3: Cross multiply
    2,235.24x = 3,345.84 × 1,410.66
  4. Step 4: Simplify right side
    2,235.24x = 4,719,842.65
  5. Step 5: Solve for x
    x = 4,719,842.65/2,235.24
  6. Step 6: Final answer
    x = 2,111.56

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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.