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Finding the Fourth Proportional to 1,614.10, 2,421.60 and 792.40

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Solution

The fourth proportional to 1,614.10, 2,421.60 and 792.40 is: 1,188.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.10 : 2,421.60 = 792.40 : x
  2. Step 2: Convert to fraction form
    1,614.10/2,421.60 = 792.40/x
  3. Step 3: Cross multiply
    1,614.10x = 2,421.60 × 792.40
  4. Step 4: Simplify right side
    1,614.10x = 1,918,875.84
  5. Step 5: Solve for x
    x = 1,918,875.84/1,614.10
  6. Step 6: Final answer
    x = 1,188.82

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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.