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Finding the Fourth Proportional to 2,435.93, 3,655.51 and 896.93

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Solution

The fourth proportional to 2,435.93, 3,655.51 and 896.93 is: 1,345.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.93 : 3,655.51 = 896.93 : x
  2. Step 2: Convert to fraction form
    2,435.93/3,655.51 = 896.93/x
  3. Step 3: Cross multiply
    2,435.93x = 3,655.51 × 896.93
  4. Step 4: Simplify right side
    2,435.93x = 3,278,713.82
  5. Step 5: Solve for x
    x = 3,278,713.82/2,435.93
  6. Step 6: Final answer
    x = 1,345.98

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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.