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Finding the Fourth Proportional to 2,348.19, 3,521.16 and 787.86

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Solution

The fourth proportional to 2,348.19, 3,521.16 and 787.86 is: 1,181.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.19 : 3,521.16 = 787.86 : x
  2. Step 2: Convert to fraction form
    2,348.19/3,521.16 = 787.86/x
  3. Step 3: Cross multiply
    2,348.19x = 3,521.16 × 787.86
  4. Step 4: Simplify right side
    2,348.19x = 2,774,181.12
  5. Step 5: Solve for x
    x = 2,774,181.12/2,348.19
  6. Step 6: Final answer
    x = 1,181.41

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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.