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Finding the Fourth Proportional to 1,714.40, 2,365.50 and 1,124.54

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Solution

The fourth proportional to 1,714.40, 2,365.50 and 1,124.54 is: 1,551.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.40 : 2,365.50 = 1,124.54 : x
  2. Step 2: Convert to fraction form
    1,714.40/2,365.50 = 1,124.54/x
  3. Step 3: Cross multiply
    1,714.40x = 2,365.50 × 1,124.54
  4. Step 4: Simplify right side
    1,714.40x = 2,660,099.37
  5. Step 5: Solve for x
    x = 2,660,099.37/1,714.40
  6. Step 6: Final answer
    x = 1,551.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.