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Finding the Fourth Proportional to 2,435.78, 3,360.98 and 1,387.64

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Solution

The fourth proportional to 2,435.78, 3,360.98 and 1,387.64 is: 1,914.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.78 : 3,360.98 = 1,387.64 : x
  2. Step 2: Convert to fraction form
    2,435.78/3,360.98 = 1,387.64/x
  3. Step 3: Cross multiply
    2,435.78x = 3,360.98 × 1,387.64
  4. Step 4: Simplify right side
    2,435.78x = 4,663,823.35
  5. Step 5: Solve for x
    x = 4,663,823.35/2,435.78
  6. Step 6: Final answer
    x = 1,914.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.