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Finding the Fourth Proportional to 2,347.60, 3,521.64 and 808.24

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Solution

The fourth proportional to 2,347.60, 3,521.64 and 808.24 is: 1,212.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.60 : 3,521.64 = 808.24 : x
  2. Step 2: Convert to fraction form
    2,347.60/3,521.64 = 808.24/x
  3. Step 3: Cross multiply
    2,347.60x = 3,521.64 × 808.24
  4. Step 4: Simplify right side
    2,347.60x = 2,846,330.31
  5. Step 5: Solve for x
    x = 2,846,330.31/2,347.60
  6. Step 6: Final answer
    x = 1,212.44

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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.