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Finding the Fourth Proportional to 2,155.78, 3,232.86 and 1,698.94

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Solution

The fourth proportional to 2,155.78, 3,232.86 and 1,698.94 is: 2,547.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.78 : 3,232.86 = 1,698.94 : x
  2. Step 2: Convert to fraction form
    2,155.78/3,232.86 = 1,698.94/x
  3. Step 3: Cross multiply
    2,155.78x = 3,232.86 × 1,698.94
  4. Step 4: Simplify right side
    2,155.78x = 5,492,435.17
  5. Step 5: Solve for x
    x = 5,492,435.17/2,155.78
  6. Step 6: Final answer
    x = 2,547.77

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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.