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Finding the Fourth Proportional to 1,507.83, 2,259.32 and 892.10

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Solution

The fourth proportional to 1,507.83, 2,259.32 and 892.10 is: 1,336.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.83 : 2,259.32 = 892.10 : x
  2. Step 2: Convert to fraction form
    1,507.83/2,259.32 = 892.10/x
  3. Step 3: Cross multiply
    1,507.83x = 2,259.32 × 892.10
  4. Step 4: Simplify right side
    1,507.83x = 2,015,523.61
  5. Step 5: Solve for x
    x = 2,015,523.61/1,507.83
  6. Step 6: Final answer
    x = 1,336.70

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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.