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Finding the Fourth Proportional to 2,103.65, 3,155.47 and 787.35

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Solution

The fourth proportional to 2,103.65, 3,155.47 and 787.35 is: 1,181.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.65 : 3,155.47 = 787.35 : x
  2. Step 2: Convert to fraction form
    2,103.65/3,155.47 = 787.35/x
  3. Step 3: Cross multiply
    2,103.65x = 3,155.47 × 787.35
  4. Step 4: Simplify right side
    2,103.65x = 2,484,459.30
  5. Step 5: Solve for x
    x = 2,484,459.30/2,103.65
  6. Step 6: Final answer
    x = 1,181.02

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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.