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Finding the Fourth Proportional to 1,521.48, 2,099.40 and 931.86

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Solution

The fourth proportional to 1,521.48, 2,099.40 and 931.86 is: 1,285.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.48 : 2,099.40 = 931.86 : x
  2. Step 2: Convert to fraction form
    1,521.48/2,099.40 = 931.86/x
  3. Step 3: Cross multiply
    1,521.48x = 2,099.40 × 931.86
  4. Step 4: Simplify right side
    1,521.48x = 1,956,346.88
  5. Step 5: Solve for x
    x = 1,956,346.88/1,521.48
  6. Step 6: Final answer
    x = 1,285.82

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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.