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Finding the Fourth Proportional to 2,347.40, 3,521.74 and 787.66

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Solution

The fourth proportional to 2,347.40, 3,521.74 and 787.66 is: 1,181.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.40 : 3,521.74 = 787.66 : x
  2. Step 2: Convert to fraction form
    2,347.40/3,521.74 = 787.66/x
  3. Step 3: Cross multiply
    2,347.40x = 3,521.74 × 787.66
  4. Step 4: Simplify right side
    2,347.40x = 2,773,933.73
  5. Step 5: Solve for x
    x = 2,773,933.73/2,347.40
  6. Step 6: Final answer
    x = 1,181.70

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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.